LMFDB - Embedded newform 588.2.x.a.559.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			559.4
Character	$\chi$	$=$	588.559
Dual form			588.2.x.a.223.4

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.29096 - 0.577431i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(1.33315 + 1.49088i) q^{4} +(-3.29539 + 0.752152i) q^{5} +(-0.275689 + 1.38708i) q^{6} +(2.53967 + 0.741675i) q^{7} +(-0.860155 - 2.69446i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})$	\(q+(-1.29096 - 0.577431i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(1.33315 + 1.49088i) q^{4} +(-3.29539 + 0.752152i) q^{5} +(-0.275689 + 1.38708i) q^{6} +(2.53967 + 0.741675i) q^{7} +(-0.860155 - 2.69446i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(4.68853 + 0.931867i) q^{10} +(0.238885 - 0.496050i) q^{11} +(1.15685 - 1.63147i) q^{12} +(1.89393 - 3.93278i) q^{13} +(-2.85034 - 2.42396i) q^{14} +(1.46659 + 3.04540i) q^{15} +(-0.445444 + 3.97512i) q^{16} +(-0.912896 - 0.728010i) q^{17} +(1.41365 - 0.0398780i) q^{18} -5.82428 q^{19} +(-5.51461 - 3.91031i) q^{20} +(0.157950 - 2.64103i) q^{21} +(-0.594826 + 0.502440i) q^{22} +(-3.59877 + 2.86993i) q^{23} +(-2.43551 + 1.43816i) q^{24} +(5.78904 - 2.78786i) q^{25} +(-4.71589 + 3.98344i) q^{26} +(0.623490 + 0.781831i) q^{27} +(2.28000 + 4.77510i) q^{28} +(-2.97720 + 3.73330i) q^{29} +(-0.134793 - 4.77834i) q^{30} -10.0174 q^{31} +(2.87041 - 4.87450i) q^{32} +(-0.536770 - 0.122514i) q^{33} +(0.758135 + 1.46697i) q^{34} +(-8.92706 - 0.533893i) q^{35} +(-1.84799 - 0.764806i) q^{36} +(-3.96278 + 4.96917i) q^{37} +(7.51890 + 3.36312i) q^{38} +(-4.25562 - 0.971316i) q^{39} +(4.86120 + 8.23235i) q^{40} +(5.88603 - 1.34345i) q^{41} +(-1.72892 + 3.31826i) q^{42} +(-4.65448 - 1.06236i) q^{43} +(1.05802 - 0.305158i) q^{44} +(2.64270 - 2.10748i) q^{45} +(6.30305 - 1.62691i) q^{46} +(3.91663 + 1.88615i) q^{47} +(3.97458 - 0.450272i) q^{48} +(5.89984 + 3.76722i) q^{49} +(-9.08321 + 0.256230i) q^{50} +(-0.506619 + 1.05201i) q^{51} +(8.38818 - 2.41935i) q^{52} +(-2.02842 - 2.54356i) q^{53} +(-0.353445 - 1.36933i) q^{54} +(-0.414115 + 1.81436i) q^{55} +(-0.186093 - 7.48100i) q^{56} +(1.29602 + 5.67825i) q^{57} +(5.99917 - 3.10040i) q^{58} +(-1.10038 + 4.82106i) q^{59} +(-2.58515 + 6.24647i) q^{60} +(-11.4967 - 9.16829i) q^{61} +(12.9320 + 5.78436i) q^{62} +(-2.60996 + 0.433695i) q^{63} +(-6.52027 + 4.63531i) q^{64} +(-3.28319 + 14.3846i) q^{65} +(0.622204 + 0.468109i) q^{66} +6.97890i q^{67} +(-0.131648 - 2.33156i) q^{68} +(3.59877 + 2.86993i) q^{69} +(11.2162 + 5.84400i) q^{70} +(-4.40600 + 3.51366i) q^{71} +(1.94406 + 2.05442i) q^{72} +(-4.05356 - 8.41731i) q^{73} +(7.98514 - 4.12675i) q^{74} +(-4.00614 - 5.02354i) q^{75} +(-7.76462 - 8.68330i) q^{76} +(0.974597 - 1.08263i) q^{77} +(4.93295 + 3.71125i) q^{78} +4.40385i q^{79} +(-1.52198 - 13.4346i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-8.37437 - 1.66444i) q^{82} +(-12.3189 + 5.93247i) q^{83} +(4.14803 - 3.28540i) q^{84} +(3.55593 + 1.71244i) q^{85} +(5.39531 + 4.05910i) q^{86} +(4.30218 + 2.07182i) q^{87} +(-1.54207 - 0.216987i) q^{88} +(-7.13464 - 14.8152i) q^{89} +(-4.62854 + 1.19469i) q^{90} +(7.72679 - 8.58328i) q^{91} +(-9.07640 - 1.53931i) q^{92} +(2.22908 + 9.76624i) q^{93} +(-3.96709 - 4.69653i) q^{94} +(19.1933 - 4.38075i) q^{95} +(-5.39101 - 1.71376i) q^{96} +2.32751i q^{97} +(-5.44113 - 8.27007i) q^{98} +0.550574i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{14}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.29096	−	0.577431i	−0.912845	−	0.408306i
$2$	−1.29096	−	0.577431i	−0.912845	−	0.408306i
$3$	−0.222521	−	0.974928i	−0.128473	−	0.562875i
$3$	−0.222521	−	0.974928i	−0.128473	−	0.562875i
$4$	1.33315	+	1.49088i	0.666573	+	0.745440i
$5$	−3.29539	+	0.752152i	−1.47374	+	0.336373i	−0.882574	−	0.470174i	$-0.844191\pi$
$5$	−3.29539	+	0.752152i	−1.47374	+	0.336373i	−0.591171	+	0.806546i	$0.701334\pi$
$6$	−0.275689	+	1.38708i	−0.112549	+	0.566274i
$7$	2.53967	+	0.741675i	0.959905	+	0.280327i
$7$	2.53967	+	0.741675i	0.959905	+	0.280327i
$8$	−0.860155	−	2.69446i	−0.304111	−	0.952637i
$9$	−0.900969	+	0.433884i	−0.300323	+	0.144628i
$10$	4.68853	+	0.931867i	1.48264	+	0.294682i
$11$	0.238885	−	0.496050i	0.0720266	−	0.149565i	−0.861847	−	0.507169i	$-0.830692\pi$
$11$	0.238885	−	0.496050i	0.0720266	−	0.149565i	0.933873	+	0.357604i	$0.116406\pi$
$12$	1.15685	−	1.63147i	0.333953	−	0.470966i
$13$	1.89393	−	3.93278i	0.525281	−	1.09076i	−0.454512	−	0.890741i	$-0.650186\pi$
$13$	1.89393	−	3.93278i	0.525281	−	1.09076i	0.979793	−	0.200016i	$-0.0640995\pi$
$14$	−2.85034	−	2.42396i	−0.761785	−	0.647829i
$15$	1.46659	+	3.04540i	0.378671	+	0.786319i
$16$	−0.445444	+	3.97512i	−0.111361	+	0.993780i
$17$	−0.912896	−	0.728010i	−0.221410	−	0.176568i	0.506503	−	0.862238i	$-0.330938\pi$
$17$	−0.912896	−	0.728010i	−0.221410	−	0.176568i	−0.727913	+	0.685670i	$0.759509\pi$
$18$	1.41365	−	0.0398780i	0.333201	−	0.00939934i
$19$	−5.82428			−1.33618			−0.668091	−	0.744080i	$-0.732888\pi$
$19$	−5.82428			−1.33618			−0.668091	+	0.744080i	$0.732888\pi$
$20$	−5.51461	−	3.91031i	−1.23310	−	0.874371i
$21$	0.157950	−	2.64103i	0.0344675	−	0.576321i
$22$	−0.594826	+	0.502440i	−0.126817	+	0.107121i
$23$	−3.59877	+	2.86993i	−0.750396	+	0.598421i	−0.922201	−	0.386710i	$-0.873611\pi$
$23$	−3.59877	+	2.86993i	−0.750396	+	0.598421i	0.171805	+	0.985131i	$0.445040\pi$
$24$	−2.43551	+	1.43816i	−0.497145	+	0.293564i
$25$	5.78904	−	2.78786i	1.15781	−	0.557571i
$26$	−4.71589	+	3.98344i	−0.924862	+	0.781217i
$27$	0.623490	+	0.781831i	0.119991	+	0.150464i
$28$	2.28000	+	4.77510i	0.430880	+	0.902409i
$29$	−2.97720	+	3.73330i	−0.552853	+	0.693256i	−0.977219	−	0.212235i	$-0.931926\pi$
$29$	−2.97720	+	3.73330i	−0.552853	+	0.693256i	0.424366	+	0.905491i	$0.360497\pi$
$30$	−0.134793	−	4.77834i	−0.0246098	−	0.872402i
$31$	−10.0174			−1.79918			−0.899589	−	0.436737i	$-0.856134\pi$
$31$	−10.0174			−1.79918			−0.899589	+	0.436737i	$0.856134\pi$
$32$	2.87041	−	4.87450i	0.507421	−	0.861698i
$33$	−0.536770	−	0.122514i	−0.0934397	−	0.0213270i
$34$	0.758135	+	1.46697i	0.130019	+	0.251583i
$35$	−8.92706	−	0.533893i	−1.50895	−	0.0902444i
$36$	−1.84799	−	0.764806i	−0.307999	−	0.127468i
$37$	−3.96278	+	4.96917i	−0.651477	+	0.816926i	−0.992386	−	0.123170i	$-0.960694\pi$
$37$	−3.96278	+	4.96917i	−0.651477	+	0.816926i	0.340909	+	0.940096i	$0.389265\pi$
$38$	7.51890	+	3.36312i	1.21973	+	0.545571i
$39$	−4.25562	−	0.971316i	−0.681444	−	0.155535i
$40$	4.86120	+	8.23235i	0.768622	+	1.30165i
$41$	5.88603	−	1.34345i	0.919244	−	0.209811i	0.263381	−	0.964692i	$-0.415162\pi$
$41$	5.88603	−	1.34345i	0.919244	−	0.209811i	0.655863	+	0.754880i	$0.272305\pi$
$42$	−1.72892	+	3.31826i	−0.266778	+	0.512018i
$43$	−4.65448	−	1.06236i	−0.709802	−	0.162008i	−0.147648	−	0.989040i	$-0.547170\pi$
$43$	−4.65448	−	1.06236i	−0.709802	−	0.162008i	−0.562154	+	0.827032i	$0.690027\pi$
$44$	1.05802	−	0.305158i	0.159502	−	0.0460043i
$45$	2.64270	−	2.10748i	0.393951	−	0.314165i
$46$	6.30305	−	1.62691i	0.929334	−	0.239875i
$47$	3.91663	+	1.88615i	0.571300	+	0.275123i	0.697149	−	0.716926i	$-0.254451\pi$
$47$	3.91663	+	1.88615i	0.571300	+	0.275123i	−0.125850	+	0.992049i	$0.540166\pi$
$48$	3.97458	−	0.450272i	0.573681	−	0.0649911i
$49$	5.89984	+	3.76722i	0.842834	+	0.538174i
$50$	−9.08321	+	0.256230i	−1.28456	+	0.0362364i
$51$	−0.506619	+	1.05201i	−0.0709409	+	0.147310i
$52$	8.38818	−	2.41935i	1.16323	−	0.335504i
$53$	−2.02842	−	2.54356i	−0.278625	−	0.349385i	0.622752	−	0.782419i	$-0.286014\pi$
$53$	−2.02842	−	2.54356i	−0.278625	−	0.349385i	−0.901378	+	0.433034i	$0.857443\pi$
$54$	−0.353445	−	1.36933i	−0.0480978	−	0.186343i
$55$	−0.414115	+	1.81436i	−0.0558393	+	0.244648i
$56$	−0.186093	−	7.48100i	−0.0248677	−	0.999691i
$57$	1.29602	+	5.67825i	0.171663	+	0.752103i
$58$	5.99917	−	3.10040i	0.787729	−	0.407102i
$59$	−1.10038	+	4.82106i	−0.143257	+	0.627649i	0.851409	+	0.524502i	$0.175748\pi$
$59$	−1.10038	+	4.82106i	−0.143257	+	0.627649i	−0.994666	+	0.103147i	$0.967109\pi$
$60$	−2.58515	+	6.24647i	−0.333742	+	0.806416i
$61$	−11.4967	−	9.16829i	−1.47200	−	1.17388i	−0.946336	−	0.323185i	$-0.895246\pi$
$61$	−11.4967	−	9.16829i	−1.47200	−	1.17388i	−0.525662	−	0.850694i	$-0.676182\pi$
$62$	12.9320	+	5.78436i	1.64237	+	0.734615i
$63$	−2.60996	+	0.433695i	−0.328824	+	0.0546405i
$64$	−6.52027	+	4.63531i	−0.815033	+	0.579414i
$65$	−3.28319	+	14.3846i	−0.407229	+	1.78419i
$66$	0.622204	+	0.468109i	0.0765880	+	0.0576202i
$67$			6.97890i			0.852608i	0.904580	+	0.426304i	$0.140185\pi$
$67$			6.97890i			0.852608i	−0.904580	+	0.426304i	$0.859815\pi$
$68$	−0.131648	−	2.33156i	−0.0159647	−	0.282743i
$69$	3.59877	+	2.86993i	0.433241	+	0.345498i
$70$	11.2162	+	5.84400i	1.34059	+	0.698492i
$71$	−4.40600	+	3.51366i	−0.522895	+	0.416995i	−0.849043	−	0.528324i	$-0.822821\pi$
$71$	−4.40600	+	3.51366i	−0.522895	+	0.416995i	0.326148	+	0.945319i	$0.394249\pi$
$72$	1.94406	+	2.05442i	0.229109	+	0.242116i
$73$	−4.05356	−	8.41731i	−0.474434	−	0.985171i	−0.991607	−	0.129291i	$-0.958730\pi$
$73$	−4.05356	−	8.41731i	−0.474434	−	0.985171i	0.517173	−	0.855881i	$-0.326984\pi$
$74$	7.98514	−	4.12675i	0.928253	−	0.479725i
$75$	−4.00614	−	5.02354i	−0.462589	−	0.580069i
$76$	−7.76462	−	8.68330i	−0.890663	−	0.996043i
$77$	0.974597	−	1.08263i	0.111066	−	0.123377i
$78$	4.93295	+	3.71125i	0.558547	+	0.420217i
$79$			4.40385i			0.495472i	0.968828	+	0.247736i	$0.0796865\pi$
$79$			4.40385i			0.495472i	−0.968828	+	0.247736i	$0.920313\pi$
$80$	−1.52198	−	13.4346i	−0.170163	−	1.50204i
$81$	0.623490	−	0.781831i	0.0692766	−	0.0868702i
$82$	−8.37437	−	1.66444i	−0.924795	−	0.183807i
$83$	−12.3189	+	5.93247i	−1.35217	+	0.651173i	−0.962877	−	0.269940i	$-0.912996\pi$
$83$	−12.3189	+	5.93247i	−1.35217	+	0.651173i	−0.389297	+	0.921112i	$0.627282\pi$
$84$	4.14803	−	3.28540i	0.452587	−	0.358466i
$85$	3.55593	+	1.71244i	0.385694	+	0.185741i
$86$	5.39531	+	4.05910i	0.581791	+	0.437704i
$87$	4.30218	+	2.07182i	0.461243	+	0.222123i
$88$	−1.54207	−	0.216987i	−0.164385	−	0.0231309i
$89$	−7.13464	−	14.8152i	−0.756270	−	1.57041i	−0.819946	−	0.572441i	$-0.805997\pi$
$89$	−7.13464	−	14.8152i	−0.756270	−	1.57041i	0.0636757	−	0.997971i	$-0.479718\pi$
$90$	−4.62854	+	1.19469i	−0.487891	+	0.125932i
$91$	7.72679	−	8.58328i	0.809988	−	0.899772i
$92$	−9.07640	−	1.53931i	−0.946280	−	0.160484i
$93$	2.22908	+	9.76624i	0.231145	+	1.01271i
$94$	−3.96709	−	4.69653i	−0.409174	−	0.484410i
$95$	19.1933	−	4.38075i	1.96919	−	0.449455i
$96$	−5.39101	−	1.71376i	−0.550218	−	0.174910i
$97$			2.32751i			0.236322i	0.992994	+	0.118161i	$0.0377000\pi$
$97$			2.32751i			0.236322i	−0.992994	+	0.118161i	$0.962300\pi$
$98$	−5.44113	−	8.27007i	−0.549637	−	0.835403i
$99$			0.550574i			0.0553348i
$100$	11.8740	+	4.91415i	1.18740	+	0.491415i
$101$	5.34275	−	1.21945i	0.531623	−	0.121340i	0.0517211	−	0.998662i	$-0.483529\pi$
$101$	5.34275	−	1.21945i	0.531623	−	0.121340i	0.479902	+	0.877322i	$0.340672\pi$
$102$	1.26149	−	1.06556i	0.124906	−	0.105506i
$103$	4.07173	+	17.8394i	0.401199	+	1.75777i	0.622554	+	0.782576i	$0.286095\pi$
$103$	4.07173	+	17.8394i	0.401199	+	1.75777i	−0.221355	+	0.975193i	$0.571048\pi$
$104$	−12.2258	−	1.72032i	−1.19884	−	0.168691i
$105$	1.46595	+	8.82204i	0.143062	+	0.860943i
$106$	1.14988	+	4.45491i	0.111686	+	0.432699i
$107$	−6.48714	−	13.4707i	−0.627136	−	1.30226i	−0.936283	−	0.351247i	$-0.885758\pi$
$107$	−6.48714	−	13.4707i	−0.627136	−	1.30226i	0.309147	−	0.951014i	$-0.399956\pi$
$108$	−0.334414	+	1.97184i	−0.0321790	+	0.189741i
$109$	−9.36009	−	4.50758i	−0.896534	−	0.431748i	−0.0718981	−	0.997412i	$-0.522906\pi$
$109$	−9.36009	−	4.50758i	−0.896534	−	0.431748i	−0.824636	+	0.565664i	$0.808620\pi$
$110$	1.58227	−	2.10314i	0.150864	−	0.200526i
$111$	5.72638	+	2.75768i	0.543524	+	0.261747i
$112$	−4.07953	+	9.76511i	−0.385479	+	0.922717i
$113$	0.751830	−	0.362062i	0.0707262	−	0.0340599i	−0.398186	−	0.917305i	$-0.630360\pi$
$113$	0.751830	−	0.362062i	0.0707262	−	0.0340599i	0.468912	+	0.883245i	$0.344646\pi$
$114$	1.60569	−	8.07875i	0.150387	−	0.756645i
$115$	9.70075	−	12.1644i	0.904600	−	1.13433i
$116$	−9.53494	+	0.538375i	−0.885297	+	0.0499869i
$117$			4.36506i			0.403550i
$118$	4.20437	−	5.58840i	0.387044	−	0.514454i
$119$	−1.77851	−	2.52598i	−0.163035	−	0.231556i
$120$	6.94423	−	6.57119i	0.633919	−	0.599864i
$121$	6.66939	+	8.36315i	0.606308	+	0.760286i
$122$	9.54766	+	18.4744i	0.864405	+	1.67259i
$123$	−2.61953	−	5.43951i	−0.236195	−	0.490464i
$124$	−13.3547	−	14.9347i	−1.19928	−	1.34118i
$125$	−3.76678	+	3.00391i	−0.336911	+	0.268678i
$126$	3.61978	+	0.947192i	0.322476	+	0.0843826i
$127$	1.13409	+	0.904408i	0.100634	+	0.0802532i	0.672514	−	0.740084i	$-0.265214\pi$
$127$	1.13409	+	0.904408i	0.100634	+	0.0802532i	−0.571880	+	0.820337i	$0.693786\pi$
$128$	11.0940	−	2.21899i	0.980577	−	0.196132i
$129$			4.77418i			0.420343i
$130$	12.5446	−	16.6741i	1.10023	−	1.46241i
$131$	2.97964	−	13.0547i	0.260333	−	1.14059i	−0.660560	−	0.750774i	$-0.729681\pi$
$131$	2.97964	−	13.0547i	0.260333	−	1.14059i	0.920892	−	0.389818i	$-0.127462\pi$
$132$	−0.532939	−	0.963589i	−0.0463864	−	0.0838696i
$133$	−14.7917	−	4.31972i	−1.28261	−	0.374567i
$134$	4.02984	−	9.00947i	0.348125	−	0.778299i
$135$	−2.64270	−	2.10748i	−0.227447	−	0.181383i
$136$	−1.17637	+	3.08597i	−0.100873	+	0.264619i
$137$	0.816979	−	3.57942i	0.0697992	−	0.305810i	−0.927963	−	0.372672i	$-0.878442\pi$
$137$	0.816979	−	3.57942i	0.0697992	−	0.305810i	0.997762	+	0.0668619i	$0.0212987\pi$
$138$	−2.98868	−	5.78300i	−0.254413	−	0.492281i
$139$	−4.98579	−	21.8442i	−0.422889	−	1.85280i	−0.515201	−	0.857069i	$-0.672283\pi$
$139$	−4.98579	−	21.8442i	−0.422889	−	1.85280i	0.0923115	−	0.995730i	$-0.470574\pi$
$140$	−11.1051	−	14.0209i	−0.938553	−	1.18498i
$141$	0.967328	−	4.23814i	0.0814638	−	0.356916i
$142$	7.71686	−	1.99183i	0.647584	−	0.167151i
$143$	−1.49842	−	1.87897i	−0.125305	−	0.157127i
$144$	−1.32341	−	3.77473i	−0.110284	−	0.314561i
$145$	7.00305	−	14.5420i	0.581572	−	1.20765i
$146$	0.372561	+	13.2070i	0.0308333	+	1.09302i
$147$	2.35993	−	6.59020i	0.194644	−	0.543551i
$148$	−12.6914	+	0.716599i	−1.04323	+	0.0589041i
$149$	6.89016	+	3.31813i	0.564464	+	0.271832i	0.694278	−	0.719707i	$-0.255724\pi$
$149$	6.89016	+	3.31813i	0.564464	+	0.271832i	−0.129814	+	0.991538i	$0.541438\pi$
$150$	2.27101	+	8.79846i	0.185427	+	0.718391i
$151$	−0.701173	+	0.559167i	−0.0570607	+	0.0455044i	−0.651605	−	0.758559i	$-0.725904\pi$
$151$	−0.701173	+	0.559167i	−0.0570607	+	0.0455044i	0.594544	+	0.804063i	$0.297333\pi$
$152$	5.00978	+	15.6933i	0.406347	+	1.27290i
$153$	1.13836	+	0.259824i	0.0920312	+	0.0210055i
$154$	−1.88331	+	0.834864i	−0.151761	+	0.0672753i
$155$	33.0113	−	7.53461i	2.65153	−	0.605194i
$156$	−4.22524	−	7.63952i	−0.338290	−	0.611651i
$157$	20.4210	+	4.66096i	1.62977	+	0.371985i	0.937043	−	0.349213i	$-0.113551\pi$
$157$	20.4210	+	4.66096i	1.62977	+	0.371985i	0.692729	+	0.721198i	$0.256408\pi$
$158$	2.54292	−	5.68518i	0.202304	−	0.452289i
$159$	−2.02842	+	2.54356i	−0.160865	+	0.201718i
$160$	−5.79276	+	18.2224i	−0.457958	+	1.44061i
$161$	−11.2682	+	4.61954i	−0.888062	+	0.364071i
$162$	−1.25635	+	0.649289i	−0.0987084	+	0.0510130i
$163$	14.5315	+	3.31672i	1.13820	+	0.259786i	0.749773	−	0.661695i	$-0.230163\pi$
$163$	14.5315	+	3.31672i	1.13820	+	0.259786i	0.388423	+	0.921481i	$0.373020\pi$
$164$	9.84986	+	6.98435i	0.769145	+	0.545386i
$165$	1.86102			0.144880
$166$	19.3288	−	0.545250i	1.50020	−	0.0423196i
$167$	−7.16310	+	8.98225i	−0.554298	+	0.695067i	−0.977492	−	0.210972i	$-0.932337\pi$
$167$	−7.16310	+	8.98225i	−0.554298	+	0.695067i	0.423195	+	0.906039i	$0.360909\pi$
$168$	−7.25203	+	1.84611i	−0.559506	+	0.142430i
$169$	−3.77443	−	4.73299i	−0.290341	−	0.364076i
$170$	−3.60173	−	4.26400i	−0.276240	−	0.327034i
$171$	5.24750	−	2.52706i	0.401286	−	0.193249i
$172$	−4.62126	−	8.35555i	−0.352368	−	0.637105i
$173$	4.62285	−	3.68660i	0.351469	−	0.280287i	−0.431801	−	0.901969i	$-0.642122\pi$
$173$	4.62285	−	3.68660i	0.351469	−	0.280287i	0.783270	+	0.621682i	$0.213550\pi$
$174$	−4.35760	−	5.15885i	−0.330349	−	0.391092i
$175$	16.7699	−	2.78664i	1.26769	−	0.210651i
$176$	1.86545	+	1.17056i	0.140613	+	0.0882342i
$177$	4.94504			0.371692
$178$	0.655741	+	23.2456i	0.0491498	+	1.74233i
$179$	−0.590888	−	0.471218i	−0.0441651	−	0.0352205i	0.601159	−	0.799130i	$-0.294706\pi$
$179$	−0.590888	−	0.471218i	−0.0441651	−	0.0352205i	−0.645324	+	0.763909i	$0.723277\pi$
$180$	6.66511	+	1.13037i	0.496788	+	0.0842525i
$181$	−0.424889	−	0.882291i	−0.0315818	−	0.0655802i	0.884581	−	0.466386i	$-0.154444\pi$
$181$	−0.424889	−	0.882291i	−0.0315818	−	0.0655802i	−0.916163	+	0.400806i	$0.868730\pi$
$182$	−14.9312	+	6.61896i	−1.10678	+	0.490630i
$183$	−6.38017	+	13.2486i	−0.471636	+	0.979362i
$184$	10.8284	+	7.22818i	0.798281	+	0.532869i
$185$	9.32135	−	19.3560i	0.685319	−	1.42308i
$186$	2.76169	−	13.8950i	0.202497	−	1.01883i
$187$	−0.579207	+	0.278931i	−0.0423558	+	0.0203975i
$188$	2.40942	+	8.35374i	0.175725	+	0.609259i
$189$	1.00359	+	2.44802i	0.0730007	+	0.178067i
$190$	−27.3073	−	5.42746i	−1.98108	−	0.393749i
$191$	9.42727	−	2.15171i	0.682133	−	0.155692i	0.132607	−	0.991169i	$-0.457665\pi$
$191$	9.42727	−	2.15171i	0.682133	−	0.155692i	0.549526	+	0.835476i	$0.314808\pi$
$192$	5.96999	+	5.32534i	0.430847	+	0.384323i
$193$	−1.05497	−	4.62211i	−0.0759381	−	0.332706i	0.922662	−	0.385611i	$-0.126009\pi$
$193$	−1.05497	−	4.62211i	−0.0759381	−	0.332706i	−0.998600	+	0.0529044i	$0.983152\pi$
$194$	1.34398	−	3.00471i	0.0964918	−	0.215726i
$195$	14.7545			1.05659
$196$	2.24888	+	13.8182i	0.160634	+	0.987014i
$197$	14.9940			1.06828			0.534141	−	0.845396i	$-0.320635\pi$
$197$	14.9940			1.06828			0.534141	+	0.845396i	$0.320635\pi$
$198$	0.317919	−	0.710768i	0.0225935	−	0.0505121i
$199$	1.69742	+	7.43687i	0.120327	+	0.527186i	0.998781	+	0.0493596i	$0.0157180\pi$
$199$	1.69742	+	7.43687i	0.120327	+	0.527186i	−0.878454	+	0.477826i	$0.841425\pi$
$200$	−12.4912	−	13.2004i	−0.883265	−	0.933408i
$201$	6.80392	−	1.55295i	0.479912	−	0.109537i
$202$	−7.60141	−	1.51081i	−0.534833	−	0.106301i
$203$	−10.3300	+	7.27322i	−0.725024	+	0.510480i
$204$	−2.24381	+	0.647169i	−0.157098	+	0.0453109i
$205$	−18.3863	+	8.85438i	−1.28416	+	0.618417i
$206$	5.04461	−	25.3811i	0.351474	−	1.76838i
$207$	1.99717	−	4.14716i	0.138813	−	0.288248i
$208$	14.7896	+	9.28042i	1.02548	+	0.643481i
$209$	−1.39133	+	2.88913i	−0.0962406	+	0.199846i
$210$	3.20164	−	12.2354i	0.220934	−	0.844321i
$211$	−9.90915	−	20.5766i	−0.682174	−	1.41655i	−0.897946	−	0.440105i	$-0.854941\pi$
$211$	−9.90915	−	20.5766i	−0.682174	−	1.41655i	0.215772	−	0.976444i	$-0.430773\pi$
$212$	1.08796	−	6.41508i	0.0747215	−	0.440589i
$213$	4.40600	+	3.51366i	0.301894	+	0.240752i
$214$	0.596230	+	21.1360i	0.0407574	+	1.44483i
$215$	16.1374			1.10056
$216$	1.57032	−	2.35247i	0.106847	−	0.160065i
$217$	−25.4409	−	7.42965i	−1.72704	−	0.504358i
$218$	9.48066	+	11.2239i	0.642112	+	0.760179i
$219$	−7.30427	+	5.82496i	−0.493577	+	0.393614i
$220$	−3.25707	+	1.80141i	−0.219591	+	0.121451i
$221$	−4.59206	+	2.21142i	−0.308896	+	0.148756i
$222$	−5.80015	−	6.86664i	−0.389280	−	0.460859i
$223$	0.451223	+	0.565815i	0.0302161	+	0.0378898i	0.796710	−	0.604362i	$-0.206572\pi$
$223$	0.451223	+	0.565815i	0.0302161	+	0.0378898i	−0.766494	+	0.642252i	$0.778000\pi$
$224$	10.9052	−	10.2507i	0.728633	−	0.684904i
$225$	−4.00614	+	5.02354i	−0.267076	+	0.334903i
$226$	−1.17965	+	0.0332769i	−0.0784689	+	0.00221355i
$227$	−28.2167			−1.87281			−0.936403	−	0.350926i	$-0.885867\pi$
$227$	−28.2167			−1.87281			−0.936403	+	0.350926i	$0.885867\pi$
$228$	−6.73780	+	9.50216i	−0.446222	+	0.629296i
$229$	−6.56700	−	1.49888i	−0.433960	−	0.0990485i	−3.99190e−5	−	1.00000i	$-0.500013\pi$
$229$	−6.56700	−	1.49888i	−0.433960	−	0.0990485i	−0.433920	+	0.900952i	$0.642870\pi$
$230$	−19.5473	+	10.1022i	−1.28891	+	0.666117i
$231$	−1.27235	−	0.709254i	−0.0837146	−	0.0466655i
$232$	12.6201	+	4.81076i	0.828549	+	0.315842i
$233$	−8.60359	+	10.7886i	−0.563640	+	0.706782i	−0.979226	−	0.202772i	$-0.935005\pi$
$233$	−8.60359	+	10.7886i	−0.563640	+	0.706782i	0.415586	+	0.909554i	$0.363576\pi$
$234$	2.52052	−	5.63510i	0.164772	−	0.368378i
$235$	−14.3255	−	3.26971i	−0.934494	−	0.213292i
$236$	−8.65458	+	4.78665i	−0.563365	+	0.311584i
$237$	4.29344	−	0.979949i	0.278889	−	0.0636545i
$238$	0.837400	+	4.28790i	0.0542806	+	0.277943i
$239$	10.0557	+	2.29515i	0.650449	+	0.148461i	0.534999	−	0.844853i	$-0.320312\pi$
$239$	10.0557	+	2.29515i	0.650449	+	0.148461i	0.115450	+	0.993313i	$0.463169\pi$
$240$	−12.7591	+	4.47331i	−0.823598	+	0.288751i
$241$	6.66321	−	5.31373i	0.429215	−	0.342288i	−0.384933	−	0.922944i	$-0.625776\pi$
$241$	6.66321	−	5.31373i	0.429215	−	0.342288i	0.814148	+	0.580657i	$0.197204\pi$
$242$	−3.78076	−	14.6476i	−0.243036	−	0.941583i
$243$	−0.900969	−	0.433884i	−0.0577972	−	0.0278337i
$244$	−1.65792	−	29.3628i	−0.106138	−	1.87976i
$245$	−22.2758	−	7.97689i	−1.42315	−	0.509625i
$246$	0.240760	+	8.53478i	0.0153503	+	0.544158i
$247$	−11.0308	+	22.9056i	−0.701871	+	1.45745i
$248$	8.61651	+	26.9915i	0.547149	+	1.71396i
$249$	8.52494	+	10.6899i	0.540246	+	0.677447i
$250$	6.59731	−	1.70286i	0.417250	−	0.107698i
$251$	−2.39178	+	10.4791i	−0.150968	+	0.661434i	0.841637	+	0.540044i	$0.181592\pi$
$251$	−2.39178	+	10.4791i	−0.150968	+	0.661434i	−0.992605	+	0.121390i	$0.961265\pi$
$252$	−4.12605	−	3.31296i	−0.259917	−	0.208697i
$253$	0.563933	+	2.47075i	0.0354542	+	0.155335i
$254$	−0.941831	−	1.82241i	−0.0590957	−	0.114348i
$255$	0.878241	−	3.84783i	0.0549976	−	0.240960i
$256$	−15.6032	−	3.54139i	−0.975197	−	0.221337i
$257$	−0.802420	−	0.639909i	−0.0500536	−	0.0399164i	0.598143	−	0.801389i	$-0.295905\pi$
$257$	−0.802420	−	0.639909i	−0.0500536	−	0.0399164i	−0.648197	+	0.761473i	$0.724477\pi$
$258$	2.75676	−	6.16327i	0.171629	−	0.383708i
$259$	−13.7497	+	9.68095i	−0.854362	+	0.601545i
$260$	−25.8226	+	14.2819i	−1.60145	+	0.885726i
$261$	1.06255	−	4.65534i	0.0657703	−	0.288159i
$262$	−11.3848	+	15.1325i	−0.703353	+	0.934888i
$263$			12.1731i			0.750625i	0.926898	+	0.375313i	$0.122465\pi$
$263$			12.1731i			0.750625i	−0.926898	+	0.375313i	$0.877535\pi$
$264$	0.131595	+	1.55169i	0.00809912	+	0.0954998i
$265$	8.59760	+	6.85636i	0.528147	+	0.421183i
$266$	16.6012	+	14.1178i	1.01788	+	0.865618i
$267$	−12.8562	+	10.2525i	−0.786785	+	0.627440i
$268$	−10.4047	+	9.30389i	−0.635568	+	0.568326i
$269$	10.2390	+	21.2614i	0.624280	+	1.29633i	0.937941	+	0.346796i	$0.112730\pi$
$269$	10.2390	+	21.2614i	0.624280	+	1.29633i	−0.313660	+	0.949535i	$0.601555\pi$
$270$	2.19469	+	4.24665i	0.133565	+	0.258443i
$271$	−8.30091	−	10.4090i	−0.504245	−	0.632303i	0.462936	−	0.886392i	$-0.346796\pi$
$271$	−8.30091	−	10.4090i	−0.504245	−	0.632303i	−0.967181	+	0.254089i	$0.918224\pi$
$272$	3.30057	−	3.30458i	0.200127	−	0.200370i
$273$	−10.0875	−	5.62310i	−0.610520	−	0.340326i
$274$	−3.12155	+	4.14913i	−0.188580	+	0.250658i
$275$		−	3.53763i		−	0.213327i
$276$	0.518976	+	9.19137i	0.0312387	+	0.553255i
$277$	−5.83023	+	7.31088i	−0.350305	+	0.439268i	−0.925500	−	0.378748i	$-0.876355\pi$
$277$	−5.83023	+	7.31088i	−0.350305	+	0.439268i	0.575195	+	0.818016i	$0.304926\pi$
$278$	−6.17707	+	31.0789i	−0.370476	+	1.86399i
$279$	9.02537	−	4.34639i	0.540335	−	0.260211i
$280$	6.24010	+	24.5129i	0.372917	+	1.46492i
$281$	−1.97504	−	0.951129i	−0.117821	−	0.0567396i	0.374045	−	0.927411i	$-0.377971\pi$
$281$	−1.97504	−	0.951129i	−0.117821	−	0.0567396i	−0.491866	+	0.870671i	$0.663685\pi$
$282$	−3.69602	+	4.91270i	−0.220095	+	0.292547i
$283$	19.0479	+	9.17298i	1.13228	+	0.545277i	0.903665	−	0.428240i	$-0.140866\pi$
$283$	19.0479	+	9.17298i	1.13228	+	0.545277i	0.228614	+	0.973517i	$0.426581\pi$
$284$	−11.1123	−	1.88458i	−0.659393	−	0.111829i
$285$	−8.54182	−	17.7373i	−0.505974	−	1.05067i
$286$	0.849430	+	3.29090i	0.0502278	+	0.194595i
$287$	15.9450	+	0.953607i	0.941202	+	0.0562897i
$288$	−0.471183	+	5.63720i	−0.0277647	+	0.332175i
$289$	−3.47948	−	15.2446i	−0.204675	−	0.896740i
$290$	−17.4377	+	14.7293i	−1.02397	+	0.864935i
$291$	2.26915	−	0.517919i	0.133020	−	0.0303609i
$292$	7.14520	−	17.2649i	0.418141	−	1.01035i
$293$			2.38019i			0.139052i	0.997580	+	0.0695262i	$0.0221487\pi$
$293$			2.38019i			0.139052i	−0.997580	+	0.0695262i	$0.977851\pi$
$294$	−6.85196	+	7.14498i	−0.399614	+	0.416704i
$295$		−	16.7149i		−	0.973182i
$296$	16.7978	+	6.40331i	0.976355	+	0.372185i
$297$	0.536770	−	0.122514i	0.0311466	−	0.00710900i
$298$	−6.97892	−	8.26216i	−0.404278	−	0.478614i
$299$	4.47097	+	19.5886i	0.258563	+	1.13284i
$300$	2.14873	−	12.6698i	0.124057	−	0.731491i
$301$	−11.0329	−	6.15014i	−0.635927	−	0.354488i
$302$	1.22807	−	0.316982i	0.0706672	−	0.0182402i
$303$	−2.37775	−	4.93744i	−0.136598	−	0.283649i
$304$	2.59439	−	23.1522i	0.148799	−	1.32787i
$305$	44.7820	+	21.5659i	2.56421	+	1.23486i
$306$	−1.31955	−	0.992748i	−0.0754336	−	0.0567516i
$307$	−6.07001	−	2.92316i	−0.346434	−	0.166834i	0.252573	−	0.967578i	$-0.418723\pi$
$307$	−6.07001	−	2.92316i	−0.346434	−	0.166834i	−0.599007	+	0.800744i	$0.704438\pi$
$308$	2.91335	+	0.00970577i	0.166003	+	0.000553037i
$309$	16.4861	−	7.93929i	0.937861	−	0.451650i
$310$	−46.9669	−	9.33488i	−2.66754	−	0.530186i
$311$	−6.07162	+	7.61357i	−0.344290	+	0.431726i	−0.923586	−	0.383391i	$-0.874756\pi$
$311$	−6.07162	+	7.61357i	−0.344290	+	0.431726i	0.579296	+	0.815117i	$0.303327\pi$
$312$	1.04331	+	12.3021i	0.0590659	+	0.696468i
$313$		−	12.9221i		−	0.730402i	−0.930929	−	0.365201i	$-0.881000\pi$
$313$		−	12.9221i		−	0.730402i	0.930929	−	0.365201i	$-0.119000\pi$
$314$	−23.6713	−	17.8088i	−1.33585	−	1.00501i
$315$	8.27465	−	3.39229i	0.466224	−	0.191134i
$316$	−6.56561	+	5.87097i	−0.369344	+	0.330268i
$317$	−1.90261	−	2.38580i	−0.106861	−	0.134000i	0.725525	−	0.688196i	$-0.241597\pi$
$317$	−1.90261	−	2.38580i	−0.106861	−	0.134000i	−0.832386	+	0.554196i	$0.813026\pi$
$318$	4.08734	−	2.11236i	0.229207	−	0.118455i
$319$	1.14069	+	2.36867i	0.0638665	+	0.132620i
$320$	18.0004	−	20.1794i	1.00625	−	1.12806i
$321$	−11.6894	+	9.32201i	−0.652440	+	0.520304i
$322$	17.2143	+	0.543002i	0.959315	+	0.0302603i
$323$	5.31696	+	4.24014i	0.295844	+	0.235928i
$324$	1.99682	−	0.112747i	0.110934	−	0.00626373i
$325$		−	28.0470i		−	1.55577i
$326$	−16.8444	−	12.6727i	−0.932925	−	0.701876i
$327$	−2.31175	+	10.1284i	−0.127840	+	0.560104i
$328$	−8.68277	−	14.7041i	−0.479426	−	0.811900i
$329$	8.54804	+	7.69507i	0.471269	+	0.424243i
$330$	−2.40250	−	1.07461i	−0.132253	−	0.0591553i
$331$	16.0929	+	12.8336i	0.884544	+	0.705400i	0.956414	−	0.292014i	$-0.0943253\pi$
$331$	16.0929	+	12.8336i	0.884544	+	0.705400i	−0.0718701	+	0.997414i	$0.522897\pi$
$332$	−25.2675	−	10.4571i	−1.38673	−	0.573910i
$333$	1.41430	−	6.19645i	0.0775031	−	0.339563i
$334$	14.4339	−	7.45950i	0.789788	−	0.408166i
$335$	−5.24919	−	22.9982i	−0.286794	−	1.25653i
$336$	10.4281	+	1.80430i	0.568897	+	0.0984327i
$337$	0.428481	−	1.87730i	0.0233408	−	0.102263i	−0.961916	−	0.273346i	$-0.911870\pi$
$337$	0.428481	−	1.87730i	0.0233408	−	0.102263i	0.985257	+	0.171083i	$0.0547267\pi$
$338$	2.13966	+	8.28956i	0.116382	+	0.450893i
$339$	−0.520282	−	0.652413i	−0.0282578	−	0.0354342i
$340$	2.18752	+	7.58440i	0.118635	+	0.411322i
$341$	−2.39301	+	4.96913i	−0.129589	+	0.269094i
$342$	−8.23350	+	0.232261i	−0.445217	+	0.0125592i
$343$	12.1896	+	13.9432i	0.658176	+	0.752864i
$344$	1.14110	+	13.4551i	0.0615239	+	0.725452i
$345$	−14.0180	−	6.75071i	−0.754703	−	0.363446i
$346$	−8.09667	+	2.08987i	−0.435279	+	0.112352i
$347$	27.2900	−	21.7631i	1.46500	−	1.16830i	0.514541	−	0.857466i	$-0.327962\pi$
$347$	27.2900	−	21.7631i	1.46500	−	1.16830i	0.950463	−	0.310837i	$-0.100609\pi$
$348$	2.64660	+	9.17608i	0.141873	+	0.491890i
$349$	−17.9976	−	4.10783i	−0.963388	−	0.219887i	−0.288231	−	0.957561i	$-0.593067\pi$
$349$	−17.9976	−	4.10783i	−0.963388	−	0.219887i	−0.675157	+	0.737674i	$0.735924\pi$
$350$	−23.2584	−	6.08605i	−1.24321	−	0.325313i
$351$	4.25562	−	0.971316i	0.227148	−	0.0518450i
$352$	−1.73230	−	2.58831i	−0.0923318	−	0.137957i
$353$	−9.23169	−	2.10707i	−0.491353	−	0.112148i	−0.0303366	−	0.999540i	$-0.509658\pi$
$353$	−9.23169	−	2.10707i	−0.491353	−	0.112148i	−0.461016	+	0.887392i	$0.652515\pi$
$354$	−6.38384	−	2.85542i	−0.339298	−	0.151764i
$355$	11.8767	−	14.8929i	0.630349	−	0.790432i
$356$	12.5762	−	30.3878i	0.666538	−	1.61055i
$357$	−2.06689	+	2.29600i	−0.109391	+	0.121517i
$358$	0.490716	+	0.949520i	0.0259352	+	0.0501837i
$359$	−29.5742	−	6.75012i	−1.56087	−	0.356258i	−0.647070	−	0.762430i	$-0.724006\pi$
$359$	−29.5742	−	6.75012i	−1.56087	−	0.356258i	−0.913796	+	0.406173i	$0.866863\pi$
$360$	−7.95167	−	5.30790i	−0.419090	−	0.279751i
$361$	14.9223			0.785382
$362$	0.0390513	+	1.38435i	0.00205249	+	0.0727596i
$363$	6.66939	−	8.36315i	0.350052	−	0.438951i
$364$	23.0976	+	0.0769492i	1.21064	+	0.00403323i
$365$	19.6892	+	24.6894i	1.03058	+	1.29230i
$366$	15.8867	−	13.4192i	0.830409	−	0.701434i
$367$	33.5241	−	16.1444i	1.74995	−	0.842729i	0.771498	−	0.636231i	$-0.219508\pi$
$367$	33.5241	−	16.1444i	1.74995	−	0.842729i	0.978447	−	0.206498i	$-0.0662066\pi$
$368$	−9.80525	−	15.5839i	−0.511134	−	0.812369i
$369$	−4.72023	+	3.76426i	−0.245725	+	0.195960i
$370$	−23.2102	+	19.6053i	−1.20664	+	1.01923i
$371$	−3.26503	−	7.96424i	−0.169512	−	0.413483i
$372$	−11.5886	+	16.3431i	−0.600841	+	0.847351i
$373$	17.6503			0.913897			0.456949	−	0.889493i	$-0.348942\pi$
$373$	17.6503			0.913897			0.456949	+	0.889493i	$0.348942\pi$
$374$	0.908796	−	0.0256364i	0.0469927	−	0.00132563i
$375$	3.76678	+	3.00391i	0.194516	+	0.155121i
$376$	1.71325	−	12.1756i	0.0883544	−	0.627909i
$377$	9.04362	+	18.7793i	0.465770	+	0.967182i
$378$	0.117967	−	3.73980i	0.00606757	−	0.192354i
$379$	−9.25301	+	19.2141i	−0.475295	+	0.986960i	0.516158	+	0.856494i	$0.327362\pi$
$379$	−9.25301	+	19.2141i	−0.475295	+	0.986960i	−0.991453	+	0.130467i	$0.958352\pi$
$380$	32.1186	+	22.7747i	1.64765	+	1.16832i
$381$	0.629373	−	1.30691i	0.0322438	−	0.0669549i
$382$	−13.4127	−	2.66583i	−0.686252	−	0.136396i
$383$	3.95599	−	1.90511i	0.202142	−	0.0973464i	−0.330074	−	0.943955i	$-0.607074\pi$
$383$	3.95599	−	1.90511i	0.202142	−	0.0973464i	0.532216	+	0.846609i	$0.321359\pi$
$384$	−4.63199	−	10.3220i	−0.236375	−	0.526745i
$385$	−2.39738	+	4.30073i	−0.122182	+	0.219186i
$386$	−1.30703	+	6.57612i	−0.0665262	+	0.334715i
$387$	4.65448	−	1.06236i	0.236601	−	0.0540026i
$388$	−3.47003	+	3.10290i	−0.176164	+	0.157526i
$389$	7.58757	+	33.2433i	0.384705	+	1.68550i	0.682511	+	0.730876i	$0.260888\pi$
$389$	7.58757	+	33.2433i	0.384705	+	1.68550i	−0.297806	+	0.954626i	$0.596255\pi$
$390$	−19.0474	−	8.51971i	−0.964505	−	0.431413i
$391$	5.37464			0.271807
$392$	5.07585	−	19.1373i	0.256369	−	0.966579i
$393$	−13.3904			−0.675456
$394$	−19.3567	−	8.65803i	−0.975175	−	0.436185i
$395$	−3.31236	−	14.5124i	−0.166663	−	0.730199i
$396$	−0.820840	+	0.733995i	−0.0412487	+	0.0368847i
$397$	−23.3774	+	5.33573i	−1.17328	+	0.267793i	−0.764367	−	0.644782i	$-0.776948\pi$
$397$	−23.3774	+	5.33573i	−1.17328	+	0.267793i	−0.408910	+	0.912575i	$0.634091\pi$
$398$	2.10299	−	10.5808i	0.105413	−	0.530369i
$399$	−0.919945	+	15.3821i	−0.0460548	+	0.770069i
$400$	8.50337	+	24.2540i	0.425168	+	1.21270i
$401$	21.4771	−	10.3428i	1.07251	−	0.516495i	0.187597	−	0.982246i	$-0.439930\pi$
$401$	21.4771	−	10.3428i	1.07251	−	0.516495i	0.884916	+	0.465751i	$0.154216\pi$
$402$	−9.68030	−	1.92400i	−0.482810	−	0.0959606i
$403$	−18.9722	+	39.3962i	−0.945074	+	1.96247i
$404$	8.94071	+	6.33969i	0.444817	+	0.315411i
$405$	−1.46659	+	3.04540i	−0.0728754	+	0.151327i
$406$	17.5354	−	3.42455i	0.870267	−	0.169958i
$407$	1.51831	+	3.15280i	0.0752597	+	0.156278i
$408$	3.27036	+	0.460179i	0.161907	+	0.0227823i
$409$	−16.3405	−	13.0311i	−0.807987	−	0.644349i	0.129807	−	0.991539i	$-0.458564\pi$
$409$	−16.3405	−	13.0311i	−0.807987	−	0.644349i	−0.937795	+	0.347191i	$0.887136\pi$
$410$	28.8488	−	0.813801i	1.42474	−	0.0401908i
$411$	−3.67147			−0.181100
$412$	−21.1682	+	29.8530i	−1.04288	+	1.47075i
$413$	−6.37025	+	11.4278i	−0.313459	+	0.562324i
$414$	−4.97296	+	4.20059i	−0.244408	+	0.206448i
$415$	36.1335	−	28.8155i	1.77372	−	1.41450i
$416$	−13.7340	−	20.5206i	−0.673364	−	1.00611i
$417$	−20.1871	+	9.72158i	−0.988565	+	0.476068i
$418$	3.46443	−	2.92635i	0.169451	−	0.143133i
$419$	17.3511	+	21.7576i	0.847658	+	1.06293i	0.997245	+	0.0741805i	$0.0236341\pi$
$419$	17.3511	+	21.7576i	0.847658	+	1.06293i	−0.149587	+	0.988749i	$0.547794\pi$
$420$	−11.1983	+	13.9466i	−0.546420	+	0.680526i
$421$	15.9939	−	20.0558i	0.779497	−	0.977458i	−0.220501	−	0.975387i	$-0.570769\pi$
$421$	15.9939	−	20.0558i	0.779497	−	0.977458i	0.999998	−	0.00207142i	$-0.000659353\pi$
$422$	0.910744	+	32.2853i	0.0443343	+	1.57163i
$423$	−4.34713			−0.211365
$424$	−5.10878	+	7.65337i	−0.248104	+	0.371681i
$425$	−7.31438	−	1.66946i	−0.354800	−	0.0809807i
$426$	−3.65906	−	7.08015i	−0.177282	−	0.343035i
$427$	−22.3978	−	31.8112i	−1.08391	−	1.53945i
$428$	11.4349	−	27.6299i	0.552725	−	1.33554i
$429$	−1.49842	+	1.87897i	−0.0723446	+	0.0907173i
$430$	−20.8327	−	9.31825i	−1.00464	−	0.449366i
$431$	−7.48568	−	1.70856i	−0.360573	−	0.0822984i	0.0383968	−	0.999263i	$-0.487775\pi$
$431$	−7.48568	−	1.70856i	−0.360573	−	0.0822984i	−0.398970	+	0.916964i	$0.630632\pi$
$432$	−3.38560	+	2.13018i	−0.162890	+	0.102489i
$433$	15.3050	−	3.49326i	0.735511	−	0.167876i	0.161673	−	0.986844i	$-0.448311\pi$
$433$	15.3050	−	3.49326i	0.735511	−	0.167876i	0.573838	+	0.818969i	$0.305454\pi$
$434$	28.5530	+	24.2817i	1.37059	+	1.16556i
$435$	−15.7357	−	3.59157i	−0.754470	−	0.172203i
$436$	−5.75810	−	19.9640i	−0.275763	−	0.956104i
$437$	20.9603	−	16.7153i	1.00267	−	0.799599i
$438$	12.7930	−	3.30206i	0.611274	−	0.157779i
$439$	−17.0841	−	8.22727i	−0.815380	−	0.392666i	−0.0207681	−	0.999784i	$-0.506611\pi$
$439$	−17.0841	−	8.22727i	−0.815380	−	0.392666i	−0.794612	+	0.607118i	$0.792325\pi$
$440$	5.24493	−	0.444810i	0.250042	−	0.0212055i
$441$	−6.95010	−	0.834302i	−0.330957	−	0.0397286i
$442$	7.20511	−	0.203250i	0.342712	−	0.00966764i
$443$	−11.6643	+	24.2211i	−0.554186	+	1.15078i	0.416212	+	0.909268i	$0.363357\pi$
$443$	−11.6643	+	24.2211i	−0.554186	+	1.15078i	−0.970398	+	0.241511i	$0.922357\pi$
$444$	3.52273	+	12.2137i	0.167182	+	0.579638i
$445$	34.6548	+	43.4557i	1.64279	+	2.06000i
$446$	−0.255790	−	0.990994i	−0.0121120	−	0.0469249i
$447$	1.70173	−	7.45577i	0.0804891	−	0.352646i
$448$	−19.9972	+	6.93624i	−0.944780	+	0.327706i
$449$	−2.02422	−	8.86867i	−0.0955287	−	0.418539i	0.904439	−	0.426603i	$-0.140290\pi$
$449$	−2.02422	−	8.86867i	−0.0955287	−	0.418539i	−0.999967	+	0.00806489i	$0.997433\pi$
$450$	8.07251	−	4.17191i	0.380542	−	0.196666i
$451$	0.739668	−	3.24070i	0.0348296	−	0.152598i
$452$	1.54209	+	0.638206i	0.0725338	+	0.0300187i
$453$	0.701173	+	0.559167i	0.0329440	+	0.0262720i
$454$	36.4265	+	16.2932i	1.70958	+	0.764677i
$455$	−19.0069	+	34.0970i	−0.891057	+	1.59849i
$456$	14.1851	−	8.37627i	0.664277	−	0.392255i
$457$	−1.10193	+	4.82786i	−0.0515460	+	0.225838i	−0.994140	−	0.108104i	$-0.965522\pi$
$457$	−1.10193	+	4.82786i	−0.0515460	+	0.225838i	0.942594	+	0.333942i	$0.108379\pi$
$458$	7.61223	+	5.72698i	0.355696	+	0.267604i
$459$		−	1.16764i		−	0.0545007i
$460$	31.0681	−	1.75421i	1.44856	−	0.0817905i
$461$	−24.5902	−	19.6100i	−1.14528	−	0.913329i	−0.148142	−	0.988966i	$-0.547329\pi$
$461$	−24.5902	−	19.6100i	−1.14528	−	0.913329i	−0.997135	+	0.0756375i	$0.975901\pi$
$462$	1.23301	+	1.65031i	0.0573647	+	0.0767796i
$463$	−10.5684	+	8.42802i	−0.491155	+	0.391683i	−0.837511	−	0.546420i	$-0.815990\pi$
$463$	−10.5684	+	8.42802i	−0.491155	+	0.391683i	0.346356	+	0.938103i	$0.387419\pi$
$464$	−13.5141	−	13.4977i	−0.627377	−	0.626616i
$465$	−14.6914	−	30.5070i	−0.681297	−	1.41473i
$466$	17.3365	−	8.95960i	0.803099	−	0.415045i
$467$	6.75162	+	8.46626i	0.312428	+	0.391772i	0.913108	−	0.407717i	$-0.133675\pi$
$467$	6.75162	+	8.46626i	0.312428	+	0.391772i	−0.600681	+	0.799489i	$0.705104\pi$
$468$	−6.50777	+	5.81926i	−0.300822	+	0.268995i
$469$	−5.17607	+	17.7241i	−0.239009	+	0.818423i
$470$	16.6056	+	12.4931i	0.765960	+	0.576262i
$471$		−	20.9462i		−	0.965148i
$472$	13.9367	−	1.18194i	0.641487	−	0.0544030i
$473$	−1.63887	+	2.05508i	−0.0753552	+	0.0944925i
$474$	−6.10850	−	1.21409i	−0.280573	−	0.0557651i
$475$	−33.7170	+	16.2373i	−1.54704	+	0.745017i
$476$	1.39492	−	6.01904i	0.0639360	−	0.275882i
$477$	2.93116	+	1.41157i	0.134208	+	0.0646314i
$478$	−11.6562	−	8.76942i	−0.533142	−	0.401104i
$479$	−4.04149	−	1.94628i	−0.184660	−	0.0889278i	0.339269	−	0.940689i	$-0.389820\pi$
$479$	−4.04149	−	1.94628i	−0.184660	−	0.0889278i	−0.523930	+	0.851762i	$0.675535\pi$
$480$	19.0545	+	1.59266i	0.869716	+	0.0726948i
$481$	12.0374	+	24.9960i	0.548859	+	1.13972i
$482$	−11.6702	+	3.01226i	−0.531565	+	0.137205i
$483$	7.01114	+	9.95778i	0.319018	+	0.453095i
$484$	−3.57718	+	21.0926i	−0.162599	+	0.958752i
$485$	−1.75064	−	7.67005i	−0.0794924	−	0.348279i
$486$	0.912575	+	1.08037i	0.0413952	+	0.0490067i
$487$	−25.4459	+	5.80787i	−1.15307	+	0.263180i	−0.755975	−	0.654600i	$-0.772837\pi$
$487$	−25.4459	+	5.80787i	−1.15307	+	0.263180i	−0.397090	+	0.917780i	$0.629980\pi$
$488$	−14.8147	+	38.8635i	−0.670630	+	1.75927i
$489$		−	14.9052i		−	0.674038i
$490$	24.1510	+	23.1606i	1.09103	+	1.04629i
$491$		−	38.7103i		−	1.74697i	−0.486851	−	0.873485i	$-0.661854\pi$
$491$		−	38.7103i		−	1.74697i	0.486851	−	0.873485i	$-0.338146\pi$
$492$	4.61744	−	11.1571i	0.208170	−	0.503000i
$493$	5.43576	−	1.24068i	0.244814	−	0.0558772i
$494$	27.4667	−	23.2007i	1.23578	−	1.04385i
$495$	−0.414115	−	1.81436i	−0.0186131	−	0.0815493i
$496$	4.46219	−	39.8204i	0.200358	−	1.78799i
$497$	−13.7958	+	5.65573i	−0.618825	+	0.253694i
$498$	−4.83263	−	18.7228i	−0.216556	−	0.838990i
$499$	−5.04666	−	10.4795i	−0.225920	−	0.469127i	0.756940	−	0.653485i	$-0.226694\pi$
$499$	−5.04666	−	10.4795i	−0.225920	−	0.469127i	−0.982859	+	0.184358i	$0.940979\pi$
$500$	−9.50013	−	1.61117i	−0.424859	−	0.0720537i
$501$	10.3510	+	4.98477i	0.462448	+	0.222703i
$502$	9.13865	−	12.1470i	0.407878	−	0.542146i
$503$	4.33690	+	2.08854i	0.193373	+	0.0931235i	0.528065	−	0.849204i	$-0.322918\pi$
$503$	4.33690	+	2.08854i	0.193373	+	0.0931235i	−0.334692	+	0.942328i	$0.608632\pi$
$504$	3.41355	+	6.65941i	0.152052	+	0.296634i
$505$	−16.6892	+	8.03712i	−0.742662	+	0.357647i
$506$	0.698676	−	3.51527i	0.0310600	−	0.156273i
$507$	−3.77443	+	4.73299i	−0.167628	+	0.210199i
$508$	0.163546	+	2.89650i	0.00725619	+	0.128511i
$509$			5.99123i			0.265557i	0.991146	+	0.132778i	$0.0423898\pi$
$509$			5.99123i			0.265557i	−0.991146	+	0.132778i	$0.957610\pi$
$510$	−3.35563	+	4.46026i	−0.148590	+	0.197504i
$511$	−4.05180	−	24.3836i	−0.179241	−	1.07867i
$512$	18.0981	+	13.5815i	0.799831	+	0.600225i
$513$	−3.63138	−	4.55361i	−0.160329	−	0.201047i
$514$	0.666388	+	1.28944i	0.0293931	+	0.0568747i
$515$	−26.8359	−	55.7253i	−1.18253	−	2.45555i
$516$	−7.11773	+	6.36468i	−0.313341	+	0.280189i
$517$	1.87125	−	1.49227i	0.0822975	−	0.0656301i
$518$	23.3403	−	4.55822i	1.02551	−	0.200277i
$519$	−4.62285	−	3.68660i	−0.202921	−	0.161824i
$520$	41.5828	−	3.52654i	1.82353	−	0.154649i
$521$		−	25.4917i		−	1.11681i	−0.829568	−	0.558406i	$-0.811413\pi$
$521$		−	25.4917i		−	1.11681i	0.829568	−	0.558406i	$-0.188587\pi$
$522$	−4.05985	+	5.39630i	−0.177695	+	0.236190i
$523$	0.655041	−	2.86992i	0.0286429	−	0.125493i	−0.958585	−	0.284806i	$-0.908071\pi$
$523$	0.655041	−	2.86992i	0.0286429	−	0.125493i	0.987228	+	0.159313i	$0.0509279\pi$
$524$	23.4352	−	12.9615i	1.02377	−	0.566225i
$525$	−6.44844	−	15.7294i	−0.281433	−	0.686487i
$526$	7.02913	−	15.7150i	0.306485	−	0.685205i
$527$	9.14485	+	7.29277i	0.398356	+	0.317678i
$528$	0.726110	−	2.07915i	0.0315999	−	0.0904835i
$529$	−0.403289	+	1.76692i	−0.0175343	+	0.0768228i
$530$	−7.14007	−	13.8158i	−0.310145	−	0.600120i
$531$	−1.10038	−	4.82106i	−0.0477522	−	0.209216i
$532$	−13.2794	−	27.8115i	−0.575734	−	1.20578i
$533$	5.86423	−	25.6929i	0.254008	−	1.11288i
$534$	22.5169	−	5.81193i	0.974401	−	0.251507i
$535$	31.5097	+	39.5119i	1.36228	+	1.70825i
$536$	18.8044	−	6.00293i	0.812226	−	0.259287i
$537$	−0.327918	+	0.680929i	−0.0141507	+	0.0293843i
$538$	−0.941057	−	33.3599i	−0.0405718	−	1.43825i
$539$	3.27811	−	2.02668i	0.141198	−	0.0872954i
$540$	−0.381101	−	6.74953i	−0.0164000	−	0.290454i
$541$	9.41642	+	4.53471i	0.404844	+	0.194962i	0.625213	−	0.780454i	$-0.285012\pi$
$541$	9.41642	+	4.53471i	0.404844	+	0.194962i	−0.220370	+	0.975416i	$0.570726\pi$
$542$	4.70564	+	18.2308i	0.202125	+	0.783081i
$543$	−0.765624	+	0.610564i	−0.0328561	+	0.0262018i
$544$	−6.16907	+	2.36023i	−0.264497	+	0.101194i
$545$	34.2356	+	7.81404i	1.46649	+	0.334717i
$546$	9.77552	+	13.0840i	0.418354	+	0.559944i
$547$	40.4138	−	9.22419i	1.72797	−	0.394398i	0.760892	−	0.648878i	$-0.224762\pi$
$547$	40.4138	−	9.22419i	1.72797	−	0.394398i	0.967078	+	0.254480i	$0.0819044\pi$
$548$	6.42564	−	3.55387i	0.274490	−	0.151814i
$549$	14.3361	+	3.27212i	0.611850	+	0.139651i
$550$	−2.04274	+	4.56694i	−0.0871027	+	0.194735i
$551$	17.3401	−	21.7438i	0.738712	−	0.926316i
$552$	4.63741	−	12.1653i	0.197381	−	0.517791i
$553$	−3.26622	+	11.1843i	−0.138894	+	0.475606i
$554$	11.7481	−	6.07148i	0.499130	−	0.257953i
$555$	−20.9449	−	4.78053i	−0.889061	−	0.202922i
$556$	25.9203	−	36.5547i	1.09926	−	1.55026i
$557$	−28.1240			−1.19165			−0.595827	−	0.803113i	$-0.703175\pi$
$557$	−28.1240			−1.19165			−0.595827	+	0.803113i	$0.703175\pi$
$558$	−14.1611	+	0.399474i	−0.599488	+	0.0169111i
$559$	−12.9933	+	16.2930i	−0.549556	+	0.689122i
$560$	6.09880	−	35.2483i	0.257721	−	1.48951i
$561$	0.400824	+	0.502617i	0.0169228	+	0.0212205i
$562$	2.00048	+	2.36832i	0.0843853	+	0.0999015i
$563$	−29.1757	+	14.0503i	−1.22961	+	0.592149i	−0.931972	−	0.362531i	$-0.881913\pi$
$563$	−29.1757	+	14.0503i	−1.22961	+	0.592149i	−0.297637	+	0.954679i	$0.596199\pi$
$564$	7.60815	−	4.20789i	0.320361	−	0.177184i
$565$	−2.20525	+	1.75863i	−0.0927755	+	0.0739860i
$566$	−19.2933	−	22.8408i	−0.810956	−	0.960069i
$567$	2.16332	−	1.52317i	0.0908510	−	0.0639670i
$568$	13.2573	+	8.84950i	0.556263	+	0.371317i
$569$	−44.7745			−1.87705			−0.938523	−	0.345218i	$-0.887805\pi$
$569$	−44.7745			−1.87705			−0.938523	+	0.345218i	$0.887805\pi$
$570$	0.785074	+	27.8304i	0.0328831	+	1.16569i
$571$	16.9590	+	13.5244i	0.709712	+	0.565977i	0.910425	−	0.413673i	$-0.135754\pi$
$571$	16.9590	+	13.5244i	0.709712	+	0.565977i	−0.200713	+	0.979650i	$0.564326\pi$
$572$	0.803692	−	4.73891i	0.0336041	−	0.198144i
$573$	−4.19553	−	8.71210i	−0.175271	−	0.363953i
$574$	−20.0337	−	10.4382i	−0.836189	−	0.435682i
$575$	−12.8325	+	26.6470i	−0.535153	+	1.11126i
$576$	3.86337	−	7.00531i	0.160974	−	0.291888i
$577$	−7.57248	+	15.7244i	−0.315246	+	0.654616i	−0.997036	−	0.0769320i	$-0.975488\pi$
$577$	−7.57248	+	15.7244i	−0.315246	+	0.654616i	0.681790	+	0.731548i	$0.261202\pi$
$578$	−4.31084	+	21.6893i	−0.179307	+	0.902155i
$579$	−4.27147	+	2.05703i	−0.177516	+	0.0854873i
$580$	31.0164	−	8.94588i	1.28789	−	0.371458i
$581$	−35.6859	+	5.92989i	−1.48050	+	0.246013i
$582$	−3.22844	−	0.641667i	−0.133823	−	0.0265980i
$583$	−1.74630	+	0.398580i	−0.0723242	+	0.0165075i
$584$	−19.1934	+	18.1624i	−0.794230	+	0.751564i
$585$	−3.28319	−	14.3846i	−0.135743	−	0.594729i
$586$	1.37440	−	3.07273i	0.0567759	−	0.126933i
$587$	20.2440			0.835557			0.417779	−	0.908549i	$-0.362809\pi$
$587$	20.2440			0.835557			0.417779	+	0.908549i	$0.362809\pi$
$588$	12.9713	−	5.26733i	0.534928	−	0.217221i
$589$	58.3442			2.40403
$590$	−9.65173	+	21.5783i	−0.397356	+	0.888364i
$591$	−3.33649	−	14.6181i	−0.137245	−	0.601309i
$592$	−17.9878	−	17.9660i	−0.739296	−	0.738398i
$593$	12.4525	−	2.84220i	0.511362	−	0.116715i	0.0409487	−	0.999161i	$-0.486962\pi$
$593$	12.4525	−	2.84220i	0.511362	−	0.116715i	0.470413	+	0.882446i	$0.344105\pi$
$594$	−0.763691	−	0.151787i	−0.0313346	−	0.00622790i
$595$	7.76080	+	6.98638i	0.318162	+	0.286414i
$596$	4.23866	+	14.6960i	0.173622	+	0.601970i
$597$	6.87270	−	3.30972i	0.281281	−	0.135458i
$598$	5.53924	−	27.8698i	0.226516	−	1.13968i
$599$	1.67833	−	3.48509i	0.0685747	−	0.142397i	−0.863864	−	0.503725i	$-0.831962\pi$
$599$	1.67833	−	3.48509i	0.0685747	−	0.142397i	0.932439	+	0.361328i	$0.117677\pi$
$600$	−10.0899	+	15.1154i	−0.411916	+	0.617085i
$601$	4.60580	−	9.56405i	0.187875	−	0.390126i	−0.785662	−	0.618656i	$-0.787678\pi$
$601$	4.60580	−	9.56405i	0.187875	−	0.390126i	0.973537	+	0.228530i	$0.0733919\pi$
$602$	10.6918	+	14.3103i	0.435764	+	0.583246i
$603$	−3.02803	−	6.28777i	−0.123311	−	0.256058i
$604$	−1.76842	−	0.299914i	−0.0719559	−	0.0122033i
$605$	−28.2686	−	22.5435i	−1.14928	−	0.916522i
$606$	0.218537	+	7.74701i	0.00887747	+	0.314701i
$607$	−32.2315			−1.30824			−0.654119	−	0.756392i	$-0.726960\pi$
$607$	−32.2315			−1.30824			−0.654119	+	0.756392i	$0.726960\pi$
$608$	−16.7181	+	28.3905i	−0.678007	+	1.15139i
$609$	9.38951	+	8.45257i	0.380482	+	0.342515i
$610$	−45.3589	−	53.6992i	−1.83653	−	2.17422i
$611$	14.8356	−	11.8310i	0.600185	−	0.478632i
$612$	1.13024	+	2.04355i	0.0456872	+	0.0826054i
$613$	−23.7881	+	11.4557i	−0.960791	+	0.462693i	−0.847457	−	0.530864i	$-0.821867\pi$
$613$	−23.7881	+	11.4557i	−0.960791	+	0.462693i	−0.113334	+	0.993557i	$0.536153\pi$
$614$	6.14821	+	7.27870i	0.248121	+	0.293744i
$615$	12.7237	+	15.9551i	0.513070	+	0.643370i
$616$	−3.75541	−	1.69479i	−0.151310	−	0.0682850i
$617$	23.3158	−	29.2371i	0.938658	−	1.17704i	−0.0453600	−	0.998971i	$-0.514443\pi$
$617$	23.3158	−	29.2371i	0.938658	−	1.17704i	0.984018	−	0.178069i	$-0.0569851\pi$
$618$	−25.8673	+	0.729695i	−1.04053	+	0.0293526i
$619$	−30.3215			−1.21872			−0.609362	−	0.792892i	$-0.708574\pi$
$619$	−30.3215			−1.21872			−0.609362	+	0.792892i	$0.708574\pi$
$620$	55.2420	+	39.1711i	2.21857	+	1.57315i
$621$	−4.48760	−	1.02426i	−0.180081	−	0.0411023i
$622$	12.2345	−	6.32285i	0.490559	−	0.253523i
$623$	−7.13154	−	42.9174i	−0.285719	−	1.71945i
$624$	5.75674	−	16.4839i	0.230454	−	0.659885i
$625$	−9.87708	+	12.3855i	−0.395083	+	0.495419i
$626$	−7.46165	+	16.6819i	−0.298227	+	0.666744i
$627$	3.12630	+	0.713557i	0.124852	+	0.0284967i
$628$	20.2752	+	36.6590i	0.809070	+	1.46285i
$629$	7.23521	−	1.65139i	0.288487	−	0.0658452i
$630$	−12.6410	−	0.398745i	−0.503631	−	0.0158864i
$631$	−6.16689	−	1.40755i	−0.245500	−	0.0560338i	0.0980001	−	0.995186i	$-0.468755\pi$
$631$	−6.16689	−	1.40755i	−0.245500	−	0.0560338i	−0.343500	+	0.939153i	$0.611613\pi$
$632$	11.8660	−	3.78799i	0.472005	−	0.150678i
$633$	−17.8557	+	14.2394i	−0.709699	+	0.565966i
$634$	1.07856	+	4.17859i	0.0428349	+	0.165953i
$635$	−4.41753	−	2.12737i	−0.175304	−	0.0844221i
$636$	−6.49633	+	0.366805i	−0.257596	+	0.0145448i
$637$	25.9895	−	16.0679i	1.02974	−	0.636634i
$638$	−0.104840	−	3.71653i	−0.00415067	−	0.147139i
$639$	2.44514	−	5.07739i	0.0967284	−	0.200858i
$640$	−34.8900	+	15.6568i	−1.37915	+	0.618889i
$641$	−26.7560	−	33.5510i	−1.05680	−	1.32518i	−0.943409	−	0.331633i	$-0.892401\pi$
$641$	−26.7560	−	33.5510i	−1.05680	−	1.32518i	−0.113390	−	0.993551i	$-0.536171\pi$
$642$	20.4734	−	5.28448i	0.808020	−	0.208562i
$643$	5.61964	−	24.6213i	0.221617	−	0.970968i	−0.734644	−	0.678453i	$-0.762651\pi$
$643$	5.61964	−	24.6213i	0.221617	−	0.970968i	0.956261	−	0.292515i	$-0.0944921\pi$
$644$	−21.9094	−	10.6411i	−0.863351	−	0.419317i
$645$	−3.59091	−	15.7328i	−0.141392	−	0.619479i
$646$	−4.41559	−	8.54402i	−0.173729	−	0.336160i
$647$	−4.51770	+	19.7933i	−0.177609	+	0.778156i	0.805121	+	0.593110i	$0.202100\pi$
$647$	−4.51770	+	19.7933i	−0.177609	+	0.778156i	−0.982730	+	0.185045i	$0.940757\pi$
$648$	−2.64291	−	1.00747i	−0.103823	−	0.0395773i
$649$	2.12862	+	1.69752i	0.0835558	+	0.0666335i
$650$	−16.1952	+	36.2075i	−0.635229	+	1.42018i
$651$	−1.58225	+	26.4563i	−0.0620132	+	1.03690i
$652$	14.4278	+	26.0864i	0.565036	+	1.02162i
$653$	−2.04162	+	8.94493i	−0.0798948	+	0.350042i	−0.999037	−	0.0438848i	$-0.986027\pi$
$653$	−2.04162	+	8.94493i	−0.0798948	+	0.350042i	0.919142	+	0.393927i	$0.128884\pi$
$654$	8.83286	−	11.7405i	0.345392	−	0.459091i
$655$			45.2614i			1.76851i
$656$	2.71847	+	23.9961i	0.106138	+	0.936891i
$657$	7.30427	+	5.82496i	0.284967	+	0.227253i
$658$	−6.59179	−	14.8699i	−0.256975	−	0.579690i
$659$	−34.8708	+	27.8085i	−1.35837	+	1.08327i	−0.370360	+	0.928888i	$0.620766\pi$
$659$	−34.8708	+	27.8085i	−1.35837	+	1.08327i	−0.988012	+	0.154377i	$0.950663\pi$
$660$	2.48101	+	2.77455i	0.0965731	+	0.107999i
$661$	11.4906	+	23.8605i	0.446933	+	0.928066i	0.995748	+	0.0921223i	$0.0293651\pi$
$661$	11.4906	+	23.8605i	0.446933	+	0.928066i	−0.548814	+	0.835944i	$0.684921\pi$
$662$	−13.3647	−	25.8602i	−0.519433	−	1.00509i
$663$	3.17781	+	3.98484i	0.123416	+	0.154758i
$664$	26.5810	+	28.0900i	1.03154	+	1.09010i
$665$	51.9937	+	3.10954i	2.01623	+	0.120583i
$666$	−5.40383	+	7.18270i	−0.209394	+	0.278324i
$667$		−	21.9796i		−	0.851055i
$668$	−22.9409	+	1.29532i	−0.887610	+	0.0501175i
$669$	0.451223	−	0.565815i	0.0174453	−	0.0218757i
$670$	−6.50341	+	32.7208i	−0.251248	+	1.26411i
$671$	−7.29431	+	3.51276i	−0.281594	+	0.135608i
$672$	−12.4203	−	8.35077i	−0.479125	−	0.322138i
$673$	18.8787	+	9.09149i	0.727719	+	0.350451i	0.760787	−	0.649002i	$-0.224813\pi$
$673$	18.8787	+	9.09149i	0.727719	+	0.350451i	−0.0330674	+	0.999453i	$0.510528\pi$
$674$	−1.63716	+	2.17609i	−0.0630611	+	0.0838200i
$675$	5.78904	+	2.78786i	0.222820	+	0.107305i
$676$	2.02445	−	11.9370i	0.0778633	−	0.459115i
$677$	−17.8086	−	36.9800i	−0.684442	−	1.42126i	−0.896072	−	0.443909i	$-0.853591\pi$
$677$	−17.8086	−	36.9800i	−0.684442	−	1.42126i	0.211630	−	0.977350i	$-0.432123\pi$
$678$	0.294939	+	1.14267i	0.0113270	+	0.0438838i
$679$	−1.72625	+	5.91109i	−0.0662475	+	0.226847i
$680$	1.55547	−	11.0543i	0.0596496	−	0.423912i
$681$	6.27880	+	27.5092i	0.240604	+	1.05416i
$682$	5.95861	−	5.03314i	0.228167	−	0.192729i
$683$	−10.2990	+	2.35069i	−0.394081	+	0.0899465i	−0.414969	−	0.909835i	$-0.636208\pi$
$683$	−10.2990	+	2.35069i	−0.394081	+	0.0899465i	0.0208882	+	0.999782i	$0.493351\pi$
$684$	10.7632	+	4.45444i	0.411542	+	0.170320i
$685$			12.4101i			0.474165i
$686$	−7.68498	−	25.0388i	−0.293414	−	0.955986i
$687$			6.73588i			0.256990i
$688$	6.29630	−	18.0289i	0.240044	−	0.687346i
$689$	−13.8450	+	3.16002i	−0.527451	+	0.120387i
$690$	14.1986	+	16.8093i	0.540530	+	0.639920i
$691$	−4.37600	−	19.1725i	−0.166471	−	0.729357i	−0.987389	−	0.158311i	$-0.949395\pi$
$691$	−4.37600	−	19.1725i	−0.166471	−	0.729357i	0.820918	−	0.571046i	$-0.193462\pi$
$692$	11.6592	+	1.97734i	0.443217	+	0.0751671i
$693$	−0.408347	+	1.39828i	−0.0155118	+	0.0531161i
$694$	−47.7969	+	12.3371i	−1.81435	+	0.468309i
$695$	32.8603	+	68.2351i	1.24646	+	2.58831i
$696$	1.88191	−	13.3742i	0.0713335	−	0.506947i
$697$	−6.35138	−	3.05866i	−0.240576	−	0.115855i
$698$	20.8621	+	15.6954i	0.789643	+	0.594079i
$699$	12.4325	+	5.98720i	0.470242	+	0.226457i
$700$	26.5113	+	21.2870i	1.00203	+	0.804571i
$701$	8.73891	−	4.20844i	0.330064	−	0.158951i	−0.261511	−	0.965201i	$-0.584221\pi$
$701$	8.73891	−	4.20844i	0.330064	−	0.158951i	0.591575	+	0.806250i	$0.298506\pi$
$702$	−6.05469	−	1.20340i	−0.228520	−	0.0454193i
$703$	23.0803	−	28.9418i	0.870492	−	1.09156i
$704$	0.741752	+	4.34169i	0.0279558	+	0.163633i
$705$			14.6939i			0.553405i
$706$	10.7010	+	8.05081i	0.402739	+	0.302996i
$707$	14.4732	+	0.865588i	0.544322	+	0.0325538i
$708$	6.59246	+	7.37247i	0.247760	+	0.277074i
$709$	−10.8937	−	13.6603i	−0.409122	−	0.513023i	0.533993	−	0.845489i	$-0.320691\pi$
$709$	−10.8937	−	13.6603i	−0.409122	−	0.513023i	−0.943115	+	0.332466i	$0.892119\pi$
$710$	−23.9319	+	12.3681i	−0.898149	+	0.464167i
$711$	−1.91076	−	3.96773i	−0.0716590	−	0.148802i
$712$	−33.7822	+	31.9674i	−1.26604	+	1.19803i
$713$	36.0503	−	28.7492i	1.35010	−	1.07667i
$714$	3.99405	−	1.77055i	0.149474	−	0.0662612i
$715$	6.35117	+	5.06489i	0.237520	+	0.189416i
$716$	−0.0852115	−	1.50915i	−0.00318450	−	0.0563994i
$717$		−	10.3143i		−	0.385195i
$718$	34.2813	+	25.7912i	1.27937	+	0.962519i
$719$	−0.123450	+	0.540869i	−0.00460390	+	0.0201710i	−0.977178	−	0.212424i	$-0.931864\pi$
$719$	−0.123450	+	0.540869i	−0.00460390	+	0.0201710i	0.972574	+	0.232595i	$0.0747215\pi$
$720$	7.20032	+	11.4438i	0.268340	+	0.426486i
$721$	−2.89020	+	48.3261i	−0.107637	+	1.79976i
$722$	−19.2640	−	8.61658i	−0.716932	−	0.320676i
$723$	−6.66321	−	5.31373i	−0.247807	−	0.197620i
$724$	0.748951	−	1.80968i	0.0278345	−	0.0672563i
$725$	−6.82727	+	29.9122i	−0.253558	+	1.11091i
$726$	−13.4390	+	6.94536i	−0.498770	+	0.257766i
$727$	−3.00169	−	13.1512i	−0.111326	−	0.487753i	−0.999596	−	0.0284299i	$-0.990949\pi$
$727$	−3.00169	−	13.1512i	−0.111326	−	0.487753i	0.888269	−	0.459323i	$-0.151908\pi$
$728$	−29.7736	−	13.4366i	−1.10348	−	0.497994i
$729$	−0.222521	+	0.974928i	−0.00824152	+	0.0361084i
$730$	−11.1614	−	43.2422i	−0.413103	−	1.60047i
$731$	3.47565	+	4.35833i	0.128552	+	0.161199i
$732$	−28.2577	+	8.15020i	−1.04443	+	0.301240i
$733$	22.1890	−	46.0760i	0.819571	−	1.70186i	0.113700	−	0.993515i	$-0.463730\pi$
$733$	22.1890	−	46.0760i	0.819571	−	1.70186i	0.705870	−	0.708341i	$-0.250556\pi$
$734$	−52.6005	+	1.48382i	−1.94152	+	0.0547688i
$735$	−2.82006	+	23.4923i	−0.104019	+	0.866528i
$736$	3.65950	+	25.7801i	0.134891	+	0.950266i
$737$	3.46188	+	1.66715i	0.127520	+	0.0614104i
$738$	8.26722	−	2.13389i	0.304321	−	0.0785496i
$739$	−8.89435	+	7.09300i	−0.327184	+	0.260920i	−0.773280	−	0.634065i	$-0.781385\pi$
$739$	−8.89435	+	7.09300i	−0.327184	+	0.260920i	0.446096	+	0.894985i	$0.352814\pi$
$740$	41.2841	−	11.9073i	1.51764	−	0.437722i
$741$	24.7859	+	5.65722i	0.910533	+	0.207823i
$742$	−0.383787	+	12.1668i	−0.0140892	+	0.446658i
$743$	19.7728	−	4.51301i	0.725393	−	0.165566i	0.156147	−	0.987734i	$-0.450093\pi$
$743$	19.7728	−	4.51301i	0.725393	−	0.165566i	0.569246	+	0.822168i	$0.307235\pi$
$744$	24.3974	−	14.4067i	0.894453	−	0.528174i
$745$	−25.2015	−	5.75209i	−0.923313	−	0.210740i
$746$	−22.7858	−	10.1918i	−0.834247	−	0.373149i
$747$	8.52494	−	10.6899i	0.311911	−	0.391124i
$748$	−1.18802	−	0.491672i	−0.0434383	−	0.0179773i
$749$	−6.48432	−	39.0224i	−0.236932	−	1.42585i
$750$	−3.12821	−	6.05298i	−0.114226	−	0.221023i
$751$	−28.2892	−	6.45682i	−1.03229	−	0.235613i	−0.327365	−	0.944898i	$-0.606161\pi$
$751$	−28.2892	−	6.45682i	−1.03229	−	0.235613i	−0.704921	+	0.709285i	$0.749018\pi$
$752$	−9.24232	+	14.7289i	−0.337033	+	0.537108i
$753$	10.7486			0.391700
$754$	−0.831194	−	29.4653i	−0.0302703	−	1.07306i
$755$	1.89006	−	2.37006i	0.0687864	−	0.0862555i
$756$	−2.31177	+	4.75980i	−0.0840781	+	0.173112i
$757$	−23.3651	−	29.2990i	−0.849220	−	1.06489i	−0.997117	−	0.0758858i	$-0.975822\pi$
$757$	−23.3651	−	29.2990i	−0.849220	−	1.06489i	0.147896	−	0.989003i	$-0.452750\pi$
$758$	23.0400	−	19.4616i	0.836852	−	0.706876i
$759$	2.28332	−	1.09959i	0.0828793	−	0.0399125i
$760$	−28.3130	−	47.9475i	−1.02702	−	1.73924i
$761$	−8.23162	+	6.56450i	−0.298396	+	0.237963i	−0.761230	−	0.648482i	$-0.775404\pi$
$761$	−8.23162	+	6.56450i	−0.298396	+	0.237963i	0.462834	+	0.886445i	$0.346833\pi$
$762$	−1.56714	+	1.32374i	−0.0567716	+	0.0479541i
$763$	−20.4284	−	18.3899i	−0.739557	−	0.665759i
$764$	15.7759	+	11.1864i	0.570751	+	0.404709i
$765$	−3.94678			−0.142696
$766$	−6.20709	+	0.175097i	−0.224271	+	0.00632652i
$767$	16.8761	+	13.4583i	0.609362	+	0.485950i
$768$	0.0194322	+	16.0000i	0.000701198	+	0.577350i
$769$	16.4884	+	34.2386i	0.594588	+	1.23467i	0.953525	+	0.301313i	$0.0974250\pi$
$769$	16.4884	+	34.2386i	0.594588	+	1.23467i	−0.358937	+	0.933362i	$0.616861\pi$
$770$	5.57829	−	4.16774i	0.201028	−	0.150195i
$771$	−0.445310	+	0.924695i	−0.0160374	+	0.0333021i
$772$	5.48458	−	7.73477i	0.197394	−	0.278380i
$773$	−19.3557	+	40.1926i	−0.696177	+	1.44563i	0.189764	+	0.981830i	$0.439228\pi$
$773$	−19.3557	+	40.1926i	−0.696177	+	1.44563i	−0.885941	+	0.463797i	$0.846487\pi$
$774$	−6.62218	−	1.31619i	−0.238029	−	0.0473094i
$775$	−57.9912	+	27.9271i	−2.08310	+	1.00317i
$776$	6.27138	−	2.00202i	0.225129	−	0.0718682i
$777$	12.4978	+	11.2507i	0.448357	+	0.403617i
$778$	9.40049	−	47.2970i	0.337024	−	1.69568i
$779$	−34.2819	+	7.82462i	−1.22828	+	0.280346i
$780$	19.6699	+	21.9972i	0.704296	+	0.787626i
$781$	0.690426	+	3.02496i	0.0247054	+	0.108241i
$782$	−6.93844	−	3.10349i	−0.248118	−	0.110980i
$783$	−4.77506			−0.170647
$784$	−17.6032	+	21.7745i	−0.628685	+	0.777660i
$785$	−70.8010			−2.52699
$786$	17.2864	+	7.73203i	0.616587	+	0.275792i
$787$	4.66482	+	20.4379i	0.166283	+	0.728532i	0.987461	+	0.157861i	$0.0504598\pi$
$787$	4.66482	+	20.4379i	0.166283	+	0.728532i	−0.821179	+	0.570671i	$0.806683\pi$
$788$	19.9892	+	22.3543i	0.712087	+	0.796339i
$789$	11.8679	−	2.70877i	0.422508	−	0.0964347i
$790$	−4.10380	+	20.6476i	−0.146007	+	0.734608i
$791$	2.17793	−	0.361905i	0.0774383	−	0.0128679i
$792$	1.48350	−	0.473579i	0.0527139	−	0.0168279i
$793$	−57.8307	+	27.8498i	−2.05363	+	0.988975i
$794$	33.2602	+	6.61062i	1.18036	+	0.234602i
$795$	4.77131	−	9.90773i	0.169221	−	0.351391i
$796$	−8.82458	+	12.4451i	−0.312779	+	0.441104i
$797$	−11.6503	+	24.1920i	−0.412673	+	0.856924i	0.586232	+	0.810143i	$0.300611\pi$
$797$	−11.6503	+	24.1920i	−0.412673	+	0.856924i	−0.998905	+	0.0467813i	$0.985104\pi$
$798$	10.0697	−	19.3265i	0.356464	−	0.684149i
$799$	−2.20234	−	4.57321i	−0.0779132	−	0.161789i
$800$	3.02752	−	36.2210i	0.107039	−	1.28060i
$801$	12.8562	+	10.2525i	0.454251	+	0.362253i
$802$	−33.6982	+	0.950601i	−1.18993	+	0.0335669i
$803$	−5.14374			−0.181519
$804$	11.3859	+	8.07352i	0.401549	+	0.284731i
$805$	33.6587	−	23.6986i	1.18631	−	0.835267i
$806$	47.2410	−	39.9037i	1.66399	−	1.40555i
$807$	18.4500	−	14.7134i	0.649470	−	0.517935i
$808$	−7.88134	−	13.3469i	−0.277265	−	0.469543i
$809$	25.7049	−	12.3788i	0.903737	−	0.435217i	0.0765001	−	0.997070i	$-0.475625\pi$
$809$	25.7049	−	12.3788i	0.903737	−	0.435217i	0.827237	+	0.561853i	$0.189911\pi$
$810$	3.65181	−	3.08463i	0.128312	−	0.108383i
$811$	−4.74646	−	5.95187i	−0.166671	−	0.208998i	0.691481	−	0.722395i	$-0.256959\pi$
$811$	−4.74646	−	5.95187i	−0.166671	−	0.208998i	−0.858152	+	0.513396i	$0.828387\pi$
$812$	−24.6149	−	5.70453i	−0.863813	−	0.200190i
$813$	−8.30091	+	10.4090i	−0.291126	+	0.365060i
$814$	−0.139547	−	4.94685i	−0.00489111	−	0.173387i
$815$	−50.3818			−1.76480
$816$	−3.95618	−	2.48248i	−0.138494	−	0.0869042i
$817$	27.1090	+	6.18746i	0.948425	+	0.216472i
$818$	13.5704	+	26.2582i	0.474476	+	0.918096i
$819$	−3.23745	+	11.0858i	−0.113126	+	0.387369i
$820$	−37.7125	−	15.6076i	−1.31698	−	0.545041i
$821$	−6.72557	+	8.43360i	−0.234724	+	0.294335i	−0.885218	−	0.465177i	$-0.845991\pi$
$821$	−6.72557	+	8.43360i	−0.234724	+	0.294335i	0.650494	+	0.759512i	$0.274562\pi$
$822$	4.73971	+	2.12002i	0.165317	+	0.0739443i
$823$	19.3468	+	4.41577i	0.674386	+	0.153924i	0.545981	−	0.837798i	$-0.316157\pi$
$823$	19.3468	+	4.41577i	0.674386	+	0.153924i	0.128405	+	0.991722i	$0.459014\pi$
$824$	44.5653	−	26.3158i	1.55251	−	0.916754i
$825$	−3.44894	+	0.787197i	−0.120077	+	0.0274067i
$826$	14.8225	−	11.0744i	0.515740	−	0.385328i
$827$	−17.4198	−	3.97595i	−0.605745	−	0.138257i	−0.0913619	−	0.995818i	$-0.529122\pi$
$827$	−17.4198	−	3.97595i	−0.605745	−	0.138257i	−0.514383	+	0.857560i	$0.671979\pi$
$828$	8.84544	−	2.55124i	0.307400	−	0.0886616i
$829$	−24.5323	+	19.5639i	−0.852042	+	0.679481i	−0.948817	−	0.315826i	$-0.897719\pi$
$829$	−24.5323	+	19.5639i	−0.852042	+	0.679481i	0.0967754	+	0.995306i	$0.469147\pi$
$830$	−63.2858	+	16.3350i	−2.19668	+	0.566996i
$831$	8.42493	+	4.05723i	0.292258	+	0.140744i
$832$	5.88075	+	34.4217i	0.203878	+	1.19336i
$833$	−2.64337	−	7.73422i	−0.0915872	−	0.267975i
$834$	31.6742	−	0.893505i	1.09679	−	0.0309395i
$835$	16.8492	−	34.9878i	0.583092	−	1.21080i
$836$	−6.16220	+	1.77733i	−0.213124	+	0.0614701i
$837$	−6.24575	−	7.83192i	−0.215885	−	0.270711i
$838$	−9.83604	−	38.1073i	−0.339780	−	1.31639i
$839$	2.67893	−	11.7372i	0.0924871	−	0.405212i	−0.907400	−	0.420269i	$-0.861936\pi$
$839$	2.67893	−	11.7372i	0.0924871	−	0.405212i	0.999887	+	0.0150566i	$0.00479285\pi$
$840$	22.5097	−	11.5383i	0.776659	−	0.398108i
$841$	1.37935	+	6.04334i	0.0475639	+	0.208391i
$842$	−32.2283	+	16.6558i	−1.11066	+	0.573995i
$843$	−0.487795	+	2.13717i	−0.0168005	+	0.0736080i
$844$	17.4668	−	42.2049i	0.601233	−	1.45275i
$845$	15.9982	+	12.7581i	0.550353	+	0.438892i
$846$	5.61197	+	2.51017i	0.192943	+	0.0863015i
$847$	10.7353	+	26.1861i	0.368869	+	0.899767i
$848$	11.0145	−	6.93021i	0.378240	−	0.237985i
$849$	4.70444	−	20.6115i	0.161456	−	0.707384i
$850$	8.47856	+	6.37876i	0.290812	+	0.218790i
$851$		−	29.2558i		−	1.00288i
$852$	0.635384	+	11.2530i	0.0217679	+	0.385523i
$853$	36.2276	+	28.8905i	1.24041	+	0.989193i	0.999828	+	0.0185645i	$0.00590962\pi$
$853$	36.2276	+	28.8905i	1.24041	+	0.989193i	0.240582	+	0.970629i	$0.422662\pi$
$854$	10.5459	+	54.0001i	0.360873	+	1.84785i
$855$	−15.3918	+	12.2746i	−0.526390	+	0.419782i
$856$	−30.7163	+	29.0662i	−1.04986	+	0.993464i
$857$	1.62860	+	3.38181i	0.0556318	+	0.115521i	0.926931	−	0.375231i	$-0.122437\pi$
$857$	1.62860	+	3.38181i	0.0556318	+	0.115521i	−0.871300	+	0.490751i	$0.836722\pi$
$858$	3.01938	−	1.56043i	0.103080	−	0.0532721i
$859$	25.7574	+	32.2988i	0.878831	+	1.10202i	0.994076	+	0.108683i	$0.0346633\pi$
$859$	25.7574	+	32.2988i	0.878831	+	1.10202i	−0.115245	+	0.993337i	$0.536765\pi$
$860$	21.5135	+	24.0589i	0.733605	+	0.820403i
$861$	−2.61839	−	15.7574i	−0.0892346	−	0.537011i
$862$	8.67713	+	6.52815i	0.295544	+	0.222350i
$863$		−	8.82991i		−	0.300574i	−0.988642	−	0.150287i	$-0.951980\pi$
$863$		−	8.82991i		−	0.300574i	0.988642	−	0.150287i	$-0.0480197\pi$
$864$	5.60071	−	0.795025i	0.190540	−	0.0270473i
$865$	−12.4612	+	15.6259i	−0.423695	+	0.531296i
$866$	−21.7752	−	4.32792i	−0.739952	−	0.147069i
$867$	−14.0881	+	6.78448i	−0.478457	+	0.230413i
$868$	−22.8397	−	47.8341i	−0.775230	−	1.62360i
$869$	2.18453	+	1.05201i	0.0741051	+	0.0356871i
$870$	18.2403	+	13.7229i	0.618403	+	0.465249i
$871$	27.4465	+	13.2175i	0.929988	+	0.447859i
$872$	−4.09439	+	29.0976i	−0.138653	+	0.985370i
$873$	−1.00987	−	2.09701i	−0.0341788	−	0.0709730i
$874$	−36.7107	+	9.47558i	−1.24176	+	0.320516i
$875$	−11.7943	+	4.83520i	−0.398720	+	0.163460i
$876$	−18.4220	−	3.12426i	−0.622420	−	0.105559i
$877$	−0.419722	−	1.83892i	−0.0141730	−	0.0620960i	0.967347	−	0.253456i	$-0.0815673\pi$
$877$	−0.419722	−	1.83892i	−0.0141730	−	0.0620960i	−0.981520	+	0.191360i	$0.938710\pi$
$878$	17.3042	+	20.4860i	0.583988	+	0.691368i
$879$	2.32052	−	0.529643i	0.0782691	−	0.0178644i
$880$	−7.02783	−	2.45435i	−0.236908	−	0.0827362i
$881$		−	9.76917i		−	0.329132i	−0.986366	−	0.164566i	$-0.947378\pi$
$881$		−	9.76917i		−	0.329132i	0.986366	−	0.164566i	$-0.0526223\pi$
$882$	8.49054	+	5.09026i	0.285891	+	0.171398i
$883$		−	30.8149i		−	1.03700i	−0.855077	−	0.518502i	$-0.826490\pi$
$883$		−	30.8149i		−	1.03700i	0.855077	−	0.518502i	$-0.173510\pi$
$884$	−9.41885	−	3.89807i	−0.316790	−	0.131106i
$885$	−16.2959	+	3.71943i	−0.547780	+	0.125027i
$886$	29.0441	−	24.5331i	0.975756	−	0.824206i
$887$	−5.18329	−	22.7095i	−0.174038	−	0.762509i	−0.984309	−	0.176454i	$-0.943537\pi$
$887$	−5.18329	−	22.7095i	−0.174038	−	0.762509i	0.810271	−	0.586055i	$-0.199320\pi$
$888$	2.50489	−	17.8016i	0.0840587	−	0.597381i
$889$	2.20944	+	3.13802i	0.0741022	+	0.105246i
$890$	−19.6452	−	76.1102i	−0.658507	−	2.55122i
$891$	−0.238885	−	0.496050i	−0.00800295	−	0.0166183i
$892$	−0.242017	+	1.42703i	−0.00810333	+	0.0477806i
$893$	−22.8116	−	10.9855i	−0.763360	−	0.367615i
$894$	−6.50206	+	8.64245i	−0.217461	+	0.289047i
$895$	2.30164	+	1.10841i	0.0769353	+	0.0370501i
$896$	29.8208	+	2.59263i	0.996242	+	0.0866135i
$897$	18.1026	−	8.71775i	0.604428	−	0.291077i
$898$	−2.50787	+	12.6179i	−0.0836887	+	0.421066i
$899$	29.8238	−	37.3979i	0.994681	−	1.24729i
$900$	−12.8303	+	0.724440i	−0.427676	+	0.0241480i
$901$			3.79872i			0.126554i
$902$	−2.82616	+	3.75650i	−0.0941009	+	0.125078i
$903$	−3.54089	+	12.1248i	−0.117833	+	0.403490i
$904$	−1.62225	−	1.71435i	−0.0539553	−	0.0570184i
$905$	2.06379	+	2.58792i	0.0686028	+	0.0860252i
$906$	−0.582305	−	1.12674i	−0.0193458	−	0.0374334i
$907$	0.938915	+	1.94968i	0.0311761	+	0.0647379i	0.915975	−	0.401235i	$-0.131419\pi$
$907$	0.938915	+	1.94968i	0.0311761	+	0.0647379i	−0.884799	+	0.465973i	$0.845705\pi$
$908$	−37.6169	−	42.0677i	−1.24836	−	1.39606i
$909$	−4.28455	+	3.41681i	−0.142110	+	0.113329i
$910$	44.2258	−	33.0426i	1.46607	−	1.09535i
$911$	11.3333	+	9.03798i	0.375488	+	0.299442i	0.792990	−	0.609234i	$-0.208523\pi$
$911$	11.3333	+	9.03798i	0.375488	+	0.299442i	−0.417502	+	0.908676i	$0.637094\pi$
$912$	−23.1490	+	2.62251i	−0.766542	+	0.0868399i
$913$			7.52796i			0.249139i
$914$	4.21030	−	5.59628i	0.139264	−	0.185109i
$915$	11.0602	−	48.4581i	0.365640	−	1.60197i
$916$	−6.52013	−	11.7888i	−0.215431	−	0.389514i
$917$	17.2496	−	30.9446i	0.569633	−	1.02188i
$918$	−0.674231	+	1.50737i	−0.0222529	+	0.0497507i
$919$	6.70197	+	5.34464i	0.221078	+	0.176304i	0.727766	−	0.685826i	$-0.240559\pi$
$919$	6.70197	+	5.34464i	0.221078	+	0.176304i	−0.506688	+	0.862130i	$0.669130\pi$
$920$	−41.1206	−	15.6751i	−1.35571	−	0.516792i
$921$	−1.49917	+	6.56829i	−0.0493993	+	0.216433i
$922$	20.4214	+	39.5148i	0.672544	+	1.30135i
$923$	5.47383	+	23.9824i	0.180173	+	0.789391i
$924$	−0.638818	−	2.84246i	−0.0210156	−	0.0935102i
$925$	−9.08737	+	39.8144i	−0.298791	+	1.30909i
$926$	18.5100	−	4.77769i	0.608276	−	0.157005i
$927$	−11.4087	−	14.3061i	−0.374712	−	0.469874i
$928$	9.65216	+	25.2285i	0.316848	+	0.828165i
$929$	1.62289	−	3.36996i	0.0532452	−	0.110565i	−0.872649	−	0.488349i	$-0.837599\pi$
$929$	1.62289	−	3.36996i	0.0532452	−	0.110565i	0.925894	+	0.377784i	$0.123314\pi$
$930$	1.35028	+	47.8665i	0.0442774	+	1.56961i
$931$	−34.3623	−	21.9413i	−1.12618	−	0.719098i
$932$	−27.5543	+	1.55581i	−0.902571	+	0.0509622i
$933$	8.77374	+	4.22521i	0.287239	+	0.138327i
$934$	−3.82737	−	14.8282i	−0.125235	−	0.485193i
$935$	1.69892	−	1.35484i	0.0555605	−	0.0443080i
$936$	11.7615	−	3.75462i	0.384436	−	0.122724i
$937$	−14.8688	−	3.39370i	−0.485741	−	0.110867i	−0.0273650	−	0.999626i	$-0.508712\pi$
$937$	−14.8688	−	3.39370i	−0.485741	−	0.110867i	−0.458376	+	0.888758i	$0.651569\pi$
$938$	16.9165	−	19.8922i	0.552345	−	0.649504i
$939$	−12.5981	+	2.87544i	−0.411125	+	0.0938366i
$940$	−14.2233	−	25.7166i	−0.463912	−	0.838784i
$941$	−44.0511	−	10.0544i	−1.43603	−	0.327764i	−0.567486	−	0.823383i	$-0.692084\pi$
$941$	−44.0511	−	10.0544i	−1.43603	−	0.327764i	−0.868540	+	0.495620i	$0.834941\pi$
$942$	−12.0950	+	27.0406i	−0.394075	+	0.881031i
$943$	−17.3269	+	21.7272i	−0.564241	+	0.707536i
$944$	−18.6741	−	6.52164i	−0.607792	−	0.212261i
$945$	−5.14852	−	7.31233i	−0.167481	−	0.237870i
$946$	3.30238	−	1.70668i	0.107370	−	0.0554890i
$947$	32.2232	+	7.35472i	1.04711	+	0.238996i	0.711268	−	0.702921i	$-0.248121\pi$
$947$	32.2232	+	7.35472i	1.04711	+	0.238996i	0.335844	+	0.941918i	$0.390979\pi$
$948$	7.18476	+	5.09458i	0.233350	+	0.165464i
$949$	−40.7806			−1.32379
$950$	52.9032	−	1.49236i	1.71641	−	0.0484185i
$951$	−1.90261	+	2.38580i	−0.0616964	+	0.0773648i
$952$	−5.27636	+	6.96485i	−0.171008	+	0.225732i
$953$	16.2864	+	20.4225i	0.527569	+	0.661551i	0.972197	−	0.234164i	$-0.0752354\pi$
$953$	16.2864	+	20.4225i	0.527569	+	0.661551i	−0.444628	+	0.895715i	$0.646664\pi$
$954$	−2.96892	−	3.51482i	−0.0961222	−	0.113797i
$955$	−29.4481	+	14.1815i	−0.952919	+	0.458902i
$956$	9.98392	+	18.0516i	0.322903	+	0.583831i
$957$	2.05546	−	1.63917i	0.0664434	−	0.0529869i
$958$	4.09355	+	4.84625i	0.132257	+	0.156575i
$959$	4.72962	−	8.48461i	0.152727	−	0.273982i
$960$	−23.6789	−	13.0587i	−0.764234	−	0.421469i
$961$	69.3483			2.23704
$962$	−1.10635	−	39.2196i	−0.0356703	−	1.26449i
$963$	11.6894	+	9.32201i	0.376686	+	0.300397i
$964$	16.8052	+	2.85006i	0.541258	+	0.0917943i
$965$	6.95305	+	14.4382i	0.223827	+	0.464781i
$966$	−3.30115	−	16.9035i	−0.106213	−	0.543862i
$967$	17.1295	−	35.5697i	0.550847	−	1.14385i	−0.420744	−	0.907179i	$-0.638231\pi$
$967$	17.1295	−	35.5697i	0.550847	−	1.14385i	0.971591	−	0.236666i	$-0.0760547\pi$
$968$	16.7975	−	25.1640i	0.539892	−	0.808802i
$969$	2.95069	−	6.12718i	0.0947899	−	0.196833i
$970$	−2.16893	+	10.9126i	−0.0696400	+	0.350382i
$971$	8.12923	−	3.91483i	0.260880	−	0.125633i	−0.298873	−	0.954293i	$-0.596611\pi$
$971$	8.12923	−	3.91483i	0.260880	−	0.125633i	0.559752	+	0.828660i	$0.310896\pi$
$972$	−0.554255	−	1.92167i	−0.0177777	−	0.0616375i
$973$	3.53902	−	59.1748i	0.113456	−	1.89706i
$974$	36.2033	+	7.19557i	1.16003	+	0.230561i
$975$	−27.3438	+	6.24105i	−0.875703	+	0.199874i
$976$	41.5662	−	41.6167i	1.33050	−	1.33212i
$977$	−12.1300	−	53.1449i	−0.388072	−	1.70026i	−0.671286	−	0.741199i	$-0.734258\pi$
$977$	−12.1300	−	53.1449i	−0.388072	−	1.70026i	0.283213	−	0.959057i	$-0.408600\pi$
$978$	−8.60674	+	19.2420i	−0.275213	+	0.615292i
$979$	−9.05346			−0.289350
$980$	−17.8043	−	43.8449i	−0.568738	−	1.40057i
$981$	10.3889			0.331693
$982$	−22.3525	+	49.9734i	−0.713298	+	1.59471i
$983$	−6.84042	−	29.9698i	−0.218175	−	0.955889i	−0.958825	−	0.283998i	$-0.908339\pi$
$983$	−6.84042	−	29.9698i	−0.218175	−	0.955889i	0.740649	−	0.671892i	$-0.234518\pi$
$984$	−12.4034	+	11.7371i	−0.395405	+	0.374164i
$985$	−49.4113	+	11.2778i	−1.57437	+	0.359341i
$986$	−7.73374	−	1.53712i	−0.246292	−	0.0489517i
$987$	5.60002	−	10.0460i	0.178251	−	0.319769i
$988$	−48.8551	+	14.0910i	−1.55429	+	0.448294i
$989$	19.7993	−	9.53485i	0.629581	−	0.303190i
$990$	−0.513062	+	2.58138i	−0.0163062	+	0.0820418i
$991$	10.3104	−	21.4097i	0.327520	−	0.680102i	−0.670572	−	0.741844i	$-0.733951\pi$
$991$	10.3104	−	21.4097i	0.327520	−	0.680102i	0.998092	+	0.0617425i	$0.0196657\pi$
$992$	−28.7540	+	48.8298i	−0.912942	+	1.55035i
$993$	8.93087	−	18.5451i	0.283413	−	0.588512i
$994$	21.0755	+	0.664800i	0.668476	+	0.0210862i
$995$	−11.1873	−	23.2307i	−0.354662	−	0.736463i
$996$	−4.57242	+	26.9609i	−0.144883	+	0.854289i
$997$	30.6257	+	24.4232i	0.969926	+	0.773490i	0.974011	−	0.226501i	$-0.0727287\pi$
$997$	30.6257	+	24.4232i	0.969926	+	0.773490i	−0.00408461	+	0.999992i	$0.501300\pi$
$998$	0.463836	+	16.4427i	0.0146825	+	0.520484i
$999$	−6.35580			−0.201089

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.559.4	yes	168
4.3	odd	2		588.2.x.b.559.5	yes	168
49.27	odd	14		588.2.x.b.223.5	yes	168
196.27	even	14	inner	588.2.x.a.223.4	✓	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.4	✓	168	196.27	even	14	inner
588.2.x.a.559.4	yes	168	1.1	even	1	trivial
588.2.x.b.223.5	yes	168	49.27	odd	14
588.2.x.b.559.5	yes	168	4.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.29096 - 0.577431i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(1.33315 + 1.49088i) q^{4} +(-3.29539 + 0.752152i) q^{5} +(-0.275689 + 1.38708i) q^{6} +(2.53967 + 0.741675i) q^{7} +(-0.860155 - 2.69446i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})\)	\(q+(-1.29096 - 0.577431i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(1.33315 + 1.49088i) q^{4} +(-3.29539 + 0.752152i) q^{5} +(-0.275689 + 1.38708i) q^{6} +(2.53967 + 0.741675i) q^{7} +(-0.860155 - 2.69446i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(4.68853 + 0.931867i) q^{10} +(0.238885 - 0.496050i) q^{11} +(1.15685 - 1.63147i) q^{12} +(1.89393 - 3.93278i) q^{13} +(-2.85034 - 2.42396i) q^{14} +(1.46659 + 3.04540i) q^{15} +(-0.445444 + 3.97512i) q^{16} +(-0.912896 - 0.728010i) q^{17} +(1.41365 - 0.0398780i) q^{18} -5.82428 q^{19} +(-5.51461 - 3.91031i) q^{20} +(0.157950 - 2.64103i) q^{21} +(-0.594826 + 0.502440i) q^{22} +(-3.59877 + 2.86993i) q^{23} +(-2.43551 + 1.43816i) q^{24} +(5.78904 - 2.78786i) q^{25} +(-4.71589 + 3.98344i) q^{26} +(0.623490 + 0.781831i) q^{27} +(2.28000 + 4.77510i) q^{28} +(-2.97720 + 3.73330i) q^{29} +(-0.134793 - 4.77834i) q^{30} -10.0174 q^{31} +(2.87041 - 4.87450i) q^{32} +(-0.536770 - 0.122514i) q^{33} +(0.758135 + 1.46697i) q^{34} +(-8.92706 - 0.533893i) q^{35} +(-1.84799 - 0.764806i) q^{36} +(-3.96278 + 4.96917i) q^{37} +(7.51890 + 3.36312i) q^{38} +(-4.25562 - 0.971316i) q^{39} +(4.86120 + 8.23235i) q^{40} +(5.88603 - 1.34345i) q^{41} +(-1.72892 + 3.31826i) q^{42} +(-4.65448 - 1.06236i) q^{43} +(1.05802 - 0.305158i) q^{44} +(2.64270 - 2.10748i) q^{45} +(6.30305 - 1.62691i) q^{46} +(3.91663 + 1.88615i) q^{47} +(3.97458 - 0.450272i) q^{48} +(5.89984 + 3.76722i) q^{49} +(-9.08321 + 0.256230i) q^{50} +(-0.506619 + 1.05201i) q^{51} +(8.38818 - 2.41935i) q^{52} +(-2.02842 - 2.54356i) q^{53} +(-0.353445 - 1.36933i) q^{54} +(-0.414115 + 1.81436i) q^{55} +(-0.186093 - 7.48100i) q^{56} +(1.29602 + 5.67825i) q^{57} +(5.99917 - 3.10040i) q^{58} +(-1.10038 + 4.82106i) q^{59} +(-2.58515 + 6.24647i) q^{60} +(-11.4967 - 9.16829i) q^{61} +(12.9320 + 5.78436i) q^{62} +(-2.60996 + 0.433695i) q^{63} +(-6.52027 + 4.63531i) q^{64} +(-3.28319 + 14.3846i) q^{65} +(0.622204 + 0.468109i) q^{66} +6.97890i q^{67} +(-0.131648 - 2.33156i) q^{68} +(3.59877 + 2.86993i) q^{69} +(11.2162 + 5.84400i) q^{70} +(-4.40600 + 3.51366i) q^{71} +(1.94406 + 2.05442i) q^{72} +(-4.05356 - 8.41731i) q^{73} +(7.98514 - 4.12675i) q^{74} +(-4.00614 - 5.02354i) q^{75} +(-7.76462 - 8.68330i) q^{76} +(0.974597 - 1.08263i) q^{77} +(4.93295 + 3.71125i) q^{78} +4.40385i q^{79} +(-1.52198 - 13.4346i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-8.37437 - 1.66444i) q^{82} +(-12.3189 + 5.93247i) q^{83} +(4.14803 - 3.28540i) q^{84} +(3.55593 + 1.71244i) q^{85} +(5.39531 + 4.05910i) q^{86} +(4.30218 + 2.07182i) q^{87} +(-1.54207 - 0.216987i) q^{88} +(-7.13464 - 14.8152i) q^{89} +(-4.62854 + 1.19469i) q^{90} +(7.72679 - 8.58328i) q^{91} +(-9.07640 - 1.53931i) q^{92} +(2.22908 + 9.76624i) q^{93} +(-3.96709 - 4.69653i) q^{94} +(19.1933 - 4.38075i) q^{95} +(-5.39101 - 1.71376i) q^{96} +2.32751i q^{97} +(-5.44113 - 8.27007i) q^{98} +0.550574i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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